Find the limit: _ x 1 [ x^ 2 +1 x+100 ] - Vidyadip

Question

Find the limit: $\lim \limits_{x \rightarrow 1}\left[\frac{x^{2}+1}{x+100}\right]$

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Answer

$\lim \limits_{x \rightarrow 1} \frac{x^{2}+1}{x+100}=\frac{1^{2}+1}{1+100}=\frac{2}{101}$

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