Question

Find the limit of the function algebraically. limit as x approaches -10 of (x^2-100)/(x+10)

Answer 1

$\displaystyle\lim_{x\to-10}\frac{x^2-100}{x+10}=\lim_{x\to-10}\frac{(x+10)(x-10)}{x+10}=\lim_{x\to-10}(x-10)=-20$