Find the limits lim_{xrightarrow0}frac{frac{1}{x-1}+frac{1}{x+1}}{x}

Tazmin Horton 2020-11-07 Answered
Find the limits
limx01x1+1x+1x
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Expert Answer

Khribechy
Answered 2020-11-08 Author has 100 answers
Given that limx01x1+1x+1x
Compute the limit as follows.
limx01x1+1x+1x=limx0x+1+x1x(x1)(x+1)
=limx02xx(x21)
=limx02(x21)
=201
=2
Thus, limx01x1+1x+1x=2
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