Continuity and limits with transcendental functions: Determine the interval on w

Kye 2021-10-31 Answered
Continuity and limits with transcendental functions: Determine the interval on which following functions
f(x)=ex1ex
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Expert Answer

lobeflepnoumni
Answered 2021-11-01 Author has 99 answers
Given
f(x)=ex1ex
f(x) is continuous for all points except for the point where denominator is equal to 0.
1ex=0
ex=1
lnex=ln1
x=0
Thus interval of continuity are
(,0) and (0,)
limx0f(x)=limx0ex1ex
=limh0eh1eh
=limh01(eh1h)h
=limh01h
=
limx0+f(x)=limx0+ex1ex
=limh0eh(eh1)
=limh0eh(eh1h)h
=limh0(ehh)
=
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