Question

What is
\[\lim_{x \rightarrow 0-} e^{\frac{1}{x}}\]

Answer 1

Is this equal to 0?

Answer 2

I think I get it:
\[e^{1/-\infty}\]

Answer 3

\[e^{-\infty}\]

Answer 4

Which wil be 0

Answer 5

as x approaches 0 from the left, 1/x gets very big which means e^(very big) gets very big.
the limit does not exist?

Answer 6

wait... negative... yes the limit is 0