a. Let f(x) = frac{e^{x}-e^{-x}}{x} text{Find} lim_{x rightarrow 0}(e^{x}-e^{-x})/x

ringearV 2021-01-07 Answered
a. Let f(x)=exexx
Findlimx0(exex)/x
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Expert Answer

Aniqa O'Neill
Answered 2021-01-08 Author has 100 answers

The given function is, f(x)=(exex)/x
Note that, the given function is of the form 00.
Now, apply L hopital’s rule and obtain the value of the limit as shown below.
limx0f(x)=limx0ddx(exex)ddx(x)
limx0f(x)=limx0ex+ex1
limx0f(x)=2
Thus, the value of limx0f(x)=2.

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