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Evaluate lim→−1

x^10 + x^3 + 1 / x-1



1 Answer

11 votes

The limand is continuous at x = -1, so


\displaystyle\lim_(x\to-1)(x^(10)+x^3+1)/(x-1)=((-1)^(10)+(-1)^3+1)/(-1-1)=-\frac{1-1+1}2=-\frac12

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