Learn What Is Infinity To The Power Of 0

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# What is infinity to the power of 0?

We will be looking at some interesting properties of exponents in this section.

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

Let's understand the solution in detail.

**Explanation:**

∞^{0} is an indeterminate form, that is, the value can't be determined exactly.

But, if we write it in the form of limits, then we see that:

⇒ lim_{n→∞} n^{0} = lim_{n→∞ }1 = 1.

This is an example of the type lim_{n→∞} f(x)^{g(x)}, and if it is known that f(x) = n or multiples of n and g(x) = 0, then it is a constant. Here, in this case, it is 1.

### Hence, infinity to the power of zero is equal to one.

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