Use L'Hospital Rule to evaluate the following limits.lim_{xrightarrow0}(tanh x)^x

facas9

facas9

Answered question

2020-11-30

Use L'Hospital Rule to evaluate the following limits.
limx0(tanhx)x

Answer & Explanation

bahaistag

bahaistag

Skilled2020-12-01Added 100 answers

Consider the given expression,
limx0(tanhx)x
Since the function does not have any denominator hence, the L'Hospital rule cannot be applied.
Thus,
limx0+(tanhx)x=limx0+(exexex+ex)x
=(e0e0e0+e0)0
=1
Which is the required value.

Jeffrey Jordon

Jeffrey Jordon

Expert2022-04-01Added 2605 answers

Answer is given below (on video)

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