Answer to Question #258999 in Calculus for Pankaj

Question

Find the following limits:

lim x approches 2 for x^2 + 4x -1/ x^2 -2x

Answer 1

$\lim\limits_{x\rarr 2}\frac{x^2+4x-1}{x^2-2x}=?$

$\lim\limits_{x\rarr 2}\frac{x^2+4x-1}{x^2-2x}=\frac{(2)^2+4(2)-1}{2^2-2(2)}$

$=\frac{4+8-1}{4-4}$

$=\frac{11}{0}$

$=\infty$

$\therefore \lim\limits_{x\rarr 2}\frac{x^2+4x-1}{x^2-2x}=\infty$