Question

Find an equation of the tangent line to y = (x-1)/(x-2) at the point (3,2).
I haven't learned derivatives yet, only lim (f(a+h)-f(a))/h as h approaches 0, but I can't get this rule to help me with the problem.

Answer 1

but according to the problem, you're actually calculating derivatives using the limit definition. So go ahead and find:
\(\large \lim_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} \)
this expression will give you the slope of the function at x=3.
once you have the slope, you can get the equation of the tangent line using point-slope form.