Find the following limits or state that they do not exist. \lim_{x\to1^+}

BenoguigoliB 2021-11-05 Answered
Find the following limits or state that they do not exist.
limx1+x1x21
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Expert Answer

Obiajulu
Answered 2021-11-06 Author has 98 answers
Given: limx1+x1x21
for evaluating given limit we substitute x=1+h, where h0
so,
limx1+x1x21=limh0+1+h1(1+h)21
=limh0+h12+2(1)(h)+h21
=limh0+h1+2h+h21
=limh0+hh2+2h
=limh0+hh1+2h
=limh0+11+2h
=11+
=0
hence, given limit is equal to 0.
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