# Math Help - Confusing Answers

$\lim x \rightarrow \infty$

$(e^{x} + x)^{\dfrac{9}{x}}$

$(e^{\infty} + \infty)^{\dfrac{9}{\infty}}$

$\infty^{0}$
- Indeterminate
OR

$\lim x \rightarrow \infty$

$x^{\dfrac{4}{x}}$

$\infty^{\dfrac{4}{\infty}}$

$\infty^{0}$
= 1

Both problems involve infinity to the 0 power. But they come out differently. Why?