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

facas9 2020-11-30 Answered

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

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Expert Answer

bahaistag
Answered 2020-12-01 Author has 101 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.

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Jeffrey Jordon
Answered 2022-04-01 Author has 2047 answers

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