Evaluate the following limits: _ x 1 x^2+1 x+1 - Vidyadip

Question

Evaluate the following limits: $\lim\limits_{\text{x}\rightarrow1}\frac{\text{x}^2+1}{\text{x}+1}$

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Answer

$\lim\limits_{\text{x}\rightarrow1}\frac{\text{x}^2+1}{\text{x}+1}=\frac{(1)^2+1}{1+1}=\frac{1+1}{2}=\frac{2}{2}=1$

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