Answer
$8$
Work Step by Step
Recall:
$\lim _{x\rightarrow a}p\left( x\right) =p\left( a\right)$
Thus,
$\lim _{x\rightarrow 1}\left( x^{2}+1\right) ^{3}
\\=\left( 1^{2}+1\right) ^{3}
\\=(1+1)^3
\\=2^{3}
\\=8$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.