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Question

Mathematics Question on Limits

Evaluate the Given limit: limx1\lim_{x\rightarrow -1} x10+x5+1x1\frac{x^{10}+x^5+1}{x-1}

Answer

\lim_{x\rightarrow -1}$$\frac{x^{10}+x^5+1}{x-1}= (1)10+(1)5+111\frac{(-1)^{10}+(-1)^5+1}{-1-1} = 11+12\frac{1-1+1}{-2} = 12-\frac{1}{2}