How would one use the difference quotient of (f(x+h)-f(x))/h to confirm the limit of (x-1)/(x2-1) as x approaches 1? I don't even know what numbers to plug in, how would I do it?
+118609 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.
