Question

lim x->0 of (e^x +x)^1/x
define the limit using the l'hopital's rule

Answer 1

\[\large \lim_{x->0} \frac{e^x + x}{x}\] like that?

Answer 2

or is it

\[\large \lim_{x->0} (e^x + x)^\frac{1}{x}\]

Answer 3

\[\lim_{x \rightarrow 0} (e^x + x)^\frac{ 1 }{ x }\]

Answer 4

yes like that