Given a function f(x), and two points on the curve (a, f(a)) and (b, f(b)) the line joining these two points is called a secant line of f. (Not to be confused with the trigonometric secant (sec) ...

Find \(\ds \lim_{h\to 0}\frac{f(1+h)-f(1)}{h}\) where \(\ds f(x)=\frac{3x+1}{x-2}\text{.}\) What does the result in (a) tell you about the tangent line to the graph ...