Let f(x) be a differentiable function at x = 3 with limx→3 f(x) = 2 and f'(3) = 1.

Question

(a)Find f(3)

(b) Write the equation of the tangent line to graph of f(x) at the point x=3.

Answer 1

(a) since f is differentiable, it is continuous at x=3, so f(3) = 2
(b) the point-slope form says that y-2 = 1(x-3)