Determine the one-sided limits numerically or graphically. If infinite, state wh

Kaycee Roche 2021-11-06 Answered
Determine the one-sided limits numerically or graphically. If infinite, state whether the one-sided limits are ∞ or −∞, and describe the corresponding vertical asymptote.
limx2±4x2+7x3+8
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Expert Answer

bahaistag
Answered 2021-11-07 Author has 101 answers
Given function is:
f(x)=4x2+7x3+8
limx2+(4x2+7x3+8)=limx2+(4x2+7)limx2+(x3+8)
Put, x=-2
=4(2)2+7(2)3+8
=4×4+78+8
=230
=
and
limx2(4x2+7x3+8)=limx2(4x2+7)limx2(x3+8)
Put, x=-2
=4(2)2+7(2)3+8
=4×4+78+8
=230
=
x=2 is vertical asymptote.
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