Question

Evaluate lim→−1

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

​

Answer 1

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`