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## Homework Statement

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

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

## Homework Equations

## 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.