Find the limit if it exists. If it does hot cxíst explain why Ih the case of ihf

arenceabigns 2021-10-19 Answered
Find the limit if it exists. If it does hot cxíst explain why Ih the case of ihfinite limits, malk suve that you check both the left and right limit at the point in the question.
limx1(x21)e1x1(x1)
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gotovub
Answered 2021-10-20 Author has 98 answers
limx1(x21)e1x1(x1)
L.H.L=limh0((1h)21)e1xhx(xhx)
=limh0x+h22hxhe1h
=limh0(h2)e1h
Taking limit:
L.H.L=0
R.H.L.=limh0((1+h)21)e1x+hxx+hx
=limh0x+h2+2hxhe1h
=limh0(h+2)e1h
Taking limit
R.H.L= (does not exist finity)
L.H.LR.H.L
limx1(x21)e1x1(x1) does not exist
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Jeffrey Jordon
Answered 2022-06-29 Author has 2313 answers

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