How would one use the difference quotient of (f(x+h)-f(x))/h to confirm the limit of (x-1)/(x^{2}-1) as x approaches 1? I don't even know what numbers to plug in, how would I do it?

Guest Sep 16, 2019

#1**+1 **

How would one use the difference quotient of \(\frac{f(x+h)-f(x)}{h}\)

to confirm

\(\displaystyle\lim_{x\rightarrow 1}\;\frac{x-1}{x^2-1}\\ =\displaystyle\lim_{x\rightarrow 1}\;\frac{x-1}{(x-1)(x+1)}\\ =\displaystyle\lim_{x\rightarrow 1}\;\frac{1}{(x+1)}\\ =\frac{1}{2}\)

BUT you are being asked to confirm this answer using the difference quotient.

**Beats me what you are being asked to do. Sorry.**

Melody Sep 21, 2019