Find the following: \lim_{x\to-2}(\frac{1}{x^2}+\frac{1}{x^3+4}) E

Brennan Flores 2021-11-09 Answered
Find the following:
limx2(1x2+1x3+4)
Explain your answers using the continuity property of the addition, subtraction, multiplication, and division.
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Expert Answer

lamusesamuset
Answered 2021-11-10 Author has 93 answers
Given,
limx2(1x2+1x3+4)
By addition property of limits
we know limxa[f(x)+g(x)]
=limxaf(x)+limxag(x)
Therefore
limx2(1x2+1x3+4)=limx21x2+limx21x3+4
=limx21x2+limx21x3+4
=14+1(2)3+4
=14+18+4
=1414=0
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