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\[\lim_{x \rightarrow 0+} (e^x- x)^(5/x) \]

could you use L hopital's rule?

I was thinking of that but the only way i know how to apply L'H is when i have it in f(x)/g(x)

this part is missing int he end of the lim \[+ (1/x)(\ln(e^x-x)\]