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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?

 Sep 16, 2019
 #1
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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.

 Sep 21, 2019
edited by Melody  Sep 21, 2019

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