(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find an equation of the tangent line to the curve at the given point.

y=(x-1)/(x-2), (3,2)

2. Relevant equations

3. The attempt at a solution

I've had several attempts at this, all of them are wrong. My solution book says the answer should be y=-x+5

One attempt I made is:

lim as h->0 [(3+h-1)/(3+h-2) - (x-1)/(x-2)]/h

lim as h->0 [(h+2)/(h+1) - (x-1)/(x-2)]/h

and I lost track of where I wrote the next step to this attempt. I've already attempted this 4 times.

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# Homework Help: Limits & Derivatives

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