Table of Contents

- 1 Is 0 to the power of infinity indeterminate?
- 2 What is 0 raised to the power infinity?
- 3 Why is 0 to the power indeterminate?
- 4 Why is 1 to the Power infinity indeterminate?
- 5 What is infinity divided 0?
- 6 Are zero and infinity the same?
- 7 Is the answer to infinity raised zero an indeterminate form?
- 8 What happens when you raise the power of Y to zero?

## Is 0 to the power of infinity indeterminate?

No, it is zero. Consider the function f(x,y)=xy and consider any sequences {(x0,y0),(x1,y1),…} with xi→0 and yi→∞.

## What is 0 raised to the power infinity?

one

Answer: Infinity to the power of zero is equal to one.

**What is 0 raised to the power of?**

1

Therefore, it is proven that any number or expression raised to the power of zero is always equal to 1. In other words, if the exponent is zero then the result is 1. The general form of zero exponent rule is given by: a 0 = 1 and (a/b) 0 = 1. 0° = undefined.

### Why is 0 to the power indeterminate?

When calculus books state that 00 is an indeterminate form, they mean that there are functions f(x) and g(x) such that f(x) approaches 0 and g(x) approaches 0 as x approaches 0, and that one must evaluate the limit of [f(x)]g(x) as x approaches 0. In fact, 00 = 1!

### Why is 1 to the Power infinity indeterminate?

For example, limn→∞(1+1n)n=e≈2.718281828459045. limn→∞(1+1n)√n=0, so a limit of the form (1) always has to be evaluated on its own merits; the limits of f and g don’t by themselves determine its value.

**Can infinity be set to zero?**

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. The same holds true for limits so if you have an even number of limits, you get a real number, or in this equation, 1.

## What is infinity divided 0?

Working with infinity/0 is a delicate matter. First of all the operation of division of s by t to yield s/t is only valid if s and t are numbers, and t is not zero. Thus infinity/0 is a problem both because infinity is not a number and because division by zero is not allowed.

## Are zero and infinity the same?

The concept of zero and that of infinity are linked, but, obviously, zero is not infinity. Rather, if we have N / Z, with any positive N, the quotient grows without limit as Z approaches 0. Hence we readily say that N / 0 is infinite. So we say that 0/0=0, even though we cannot justify the arbitrary change in rules.

**Is it only 1 raised to the Infinity that is?**

Or is it only 1 raised to the infinity that is? No, it is zero. Consider the function f ( x, y) = x y and consider any sequences { ( x 0, y 0), ( x 1, y 1), … } with x i → 0 and y i → ∞. It is easy to see that f ( x n, y n) converges to zero: let ϵ > 0. For some N, | x i | < ϵ and y i > 1 for all i ≥ N, so | f ( x i, y i) | < ϵ for all i ≥ N.

### Is the answer to infinity raised zero an indeterminate form?

Since the answer is ∞0, then it is also another type of Indeterminate Form and it is not accepted as a final answer in Mathematics. We know that any number raised to zero power is always equal to one except for infinity that’s why it is also an Indeterminate Form.

### What happens when you raise the power of Y to zero?

If you take 0, and raise it to the Y power. As Y approaches infinity, it is equal to zero. But Y never reaches infinity. 25 insanely cool gadgets selling out quickly in 2021. We’ve put together a list of incredible gadgets that you didn’t know you needed!

**What happens when a number approaches the power of Infinity?**

2) if the a is a negative number and we take a limit like “the limit as x approaches positive infinity of a x equals?” and if x approaches minus infinity then what happens? Please also tell me what would happen if a is positive number. As long as the base is greater than one, the same thing happens.