Evaluate the following limits in Exercise: _ x -1 x^ 10 +x^5+1 x+… - Vidyadip

Question

Evaluate the following limits in Exercise: $\lim\limits_{\text{x} \rightarrow-1}\frac{\text{x}^{10}+\text{x}^5+1}{\text{x}+1}$

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Answer

$\lim\limits_{\text{x}\rightarrow-1}\frac{\text{x}^{10}+(-1)^5+1}{-1-1}=\frac{1-1+1}{-2}=-\frac{1}{2}$

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