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.
∞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:
⇒ limn→∞ n0 = limn→∞ 1 = 1.
This is an example of the type limn→∞ 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.