Why is 1 raised to infinity an indeterminate form? Shouldn't it just be equal to 1?

Question

is any real number raised to infinity also an indeterminate form?

Answer 1

Because there is no such number as infinity.

But you could say the limit as n tends to infinity of 1^n is equal to 1. Infinity is more of a set of instructions than a number.  

Answer 2

To answer both questions in one go, first read more about infinity and indeterminate form both. Remember text book will give you details more than a webpage.