Calculating Limit of Function – A multiplication of functions as x approaches infinity – Exercise 6045

Exercise

Evaluate the following limit:

limxx(e1x1)\lim _ { x \rightarrow \infty} x(e^{\frac{1}{x}}-1)

Final Answer


limxx(e1x1)=1\lim _ { x \rightarrow \infty} x(e^{\frac{1}{x}}-1)=1

Solution

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