## What is an indeterminate answer?

**An undefined expression involving some operation between two quantities** is called an indeterminate form if it does not evaluate to a single number value or infinity.

**What are the indeterminate forms in math?**

An indeterminate form occurs when determining the limit of the ratio of two functions, such as **x/x^3, x/x, and x^2/x** when x approaches 0, the ratios go to ∞, 1, and 0 respectively.

**How do you solve indeterminate form?**

So, L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is **differentiate the numerator and differentiate the denominator and then take the limit**.

**What numbers are indeterminate?**

The expressions **0⋅∞,∞−∞,1∞,∞0, and 00** are all considered indeterminate forms. These expressions are not real numbers. Rather, they represent forms that arise when trying to evaluate certain limits.

**Which of the following is indeterminate form?**

S1:limx→0−[x]x is an indeterminate from (where [.] denotes greatest integer function).

**Is 0 an indeterminate form?**

According to some Calculus textbooks, **0^0 is an ``indeterminate form''**. When evaluating a limit of the form 0^0, then you need to know that limits of that form are called ``indeterminate forms'', and that you need to use a special technique such as L'Hopital's rule to evaluate them.

**How do you use indeterminate in a sentence?**

**He got his wish with an indeterminate sentence.** He got an indeterminate sentence, with a minimum six years. There were two types of indeterminate sentence: life imprisonment and imprisonment for public protection. He got an indeterminate sentence and must serve at least nine months.

**Which is not an indeterminate form?**

1/∞ is not an indeterminate form, it is 1/∞ = 0. ∞/1 is not an indeterminate form, but ∞/1 = ∞.

**What does it mean to indeterminate?**

adjective. **not determinate; not precisely fixed in extent; indefinite; uncertain**. not clear; vague. not established. not settled or decided.

**Why is 1 infinity an indeterminate form?**

This is known as an indeterminate form, **because it is unknown**. One to the power infinity is unknown because infinity itself is endless.

## Why is zero * infinity indeterminate?

Zero is so small that it makes everyone vanish, but infinite is so huge that it makes everyone infinite after multiplication. In particular, **infinity is the same thing as "1 over 0", so "zero times infinity" is the same thing as "zero over zero", which is an indeterminate form**.

**Why is it indeterminate?**

It is generally indeterminate **because it can take on many values**. For example we know two basic facts from exponent rules over real numbers: for positive real because by the basic definition of exponentiation this expression is equal to 0 times itself times which is 0 no matter how many times you do it.

**What is intermediate form?**

An intermediate source form is **an internal form of a program created by the compiler while translating the program from a high-level language to assembly-level or machine-level code**. There are a number of advantages to using intermediate source forms.

**What is a indeterminate structure?**

An indeterminate structure is **a structure that is also stable, but It has more unknown forces than the total number of available equilibrium equations**. For analyzing an indeterminate structure, compatibility equations are required along with the equilibrium equations.

**Is infinity * infinity indeterminate?**

Product: ∞ ⋅ ∞ \infty \cdot \infty ∞⋅∞ is **not indeterminate**; the limit is ∞ \infty ∞.

**Is infinity 0 indeterminate?**

Another states that **infinity/0 is one of the indeterminate forms having a large range of different values**. The last reasons that infinity/0 "is" equal to infinity, ie: Suppose you set x=0/0 and then multiply both sides by 0. Then (0 x)=0 is true for most any x-- indeterminant.

**How do you solve 1 infinity indeterminate?**

These convert the indeterminate form to one that we can solve. The two formulae are the following: **If lim x → + ∞ f ( x ) = 1 and lim x → + ∞ g ( x ) = ± ∞ then,** **lim x → + ∞ f ( x ) g ( x ) = e ( lim x → + ∞ ( f ( x ) − 1 ) ⋅ g ( X ) )**

**How does an indeterminate sentence work?**

indeterminate sentence, in law, **term of imprisonment with no definite duration within a prescribed maximum**. Eligibility for parole is determined by the parole authority.

**How do you solve indeterminate forms in limits?**

In short, this Rule tells us that in case we are having indeterminate forms like 0/0 and ∞/∞ then we just differentiate the numerator as well as the denominator and simplify evaluation of limits.

**Is 0 undefined or indeterminate?**

In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 also has no defined value; **when it is the form of a limit, it is an indeterminate form**.

## What is difference between indeterminate and indeterminate?

**Determinate varieties require little or no staking of the plant.** **Indeterminate varieties develop into vines that never top off and continue producing until killed by frost**. They are preferred by home growers and local-market farmers who want ripe fruit throughout the season.

**Is infinity +1 possible?**

. **If you add one to infinity, you still have infinity**; you don't have a bigger number. If you believe that, then infinity is not a number.

**Is infinity +1 still infinity?**

Yet even this relatively modest version of infinity has many bizarre properties, including being so vast that it remains the same, no matter how big a number is added to it (including another infinity). So **infinity plus one is still infinity**.

**Is 0x0 undefined?**

Any number times 0 is 0. So, **the answer is undefined**.

**What is division zero called?**

In ordinary arithmetic, the expression has no meaning, as there is no number that, when multiplied by 0, gives a (assuming ); thus, division by zero is **undefined**. Since any number multiplied by zero is zero, the expression is also undefined; when it is the form of a limit, it is an indeterminate form.

**When can I use L Hopital's rule?**

When Can You Use L'hopital's Rule. We can apply L'Hopital's rule, also commonly spelled L'Hospital's rule, **whenever direct substitution of a limit yields an indeterminate form**. This means that the limit of a quotient of functions (i.e., an algebraic fraction) is equal to the limit of their derivatives.

**What are the different indeterminate forms of L Hopital's rule?**

Using L Hospital's rule, we can solve the problem in **0/0, ∞/∞, ∞ – ∞, 0 x ∞, 1∞, ∞ ^{0}, or 0^{0}** forms. These forms are known as indeterminate forms.

**Why is infinity not a indeterminate form?**

Hence **∞/∞ cannot be determined**. Same with 0/0 - it doesn't mean anything, hence indeterminate. You cannot determine what such a number is. Now, ∞∗0 also is meaningless, since anything times infinity is infinity and anything times 0 is 0, so infinity times zero cannot be determined.

**Which is not indeterminate form?**

Forms that are not Indeterminate

Quotient: The fractions 0 ∞ \frac0{\infty} ∞0 and 1 ∞ \frac1{\infty} ∞1 are not indeterminate; the limit is 0 0 0. The fractions 1 0 \frac10 01 and ∞ 0 \frac{\infty}0 0∞ are not indeterminate.

**How do you solve indeterminate limits without Lhopital?**

Limits Without Using L'Hospital's Rule:

L'Hospital's rule tells us that if we have an indeterminate form, what we need to do is to **take the derivative of the numerator and take the derivative of the denominator** so that the function we are taking limits will no longer be indeterminate before we take the actual limit.

## Is 0 0 is infinity or indeterminate form?

If you are dealing with limits, then 0^{0} is an **indeterminate form**, but if you are dealing with ordinary algebra, then 0^{0} = 1.

**Is infinity times 0 still 0?**

Any number times any number is a number, so let's just call any number 1. Any number times 0 equals 0 and **any number times infinity equals infinity**. In this way, they are similar to the square root of -1. As long as there are an even number, you get a real number.