Question

Am I correct? Thanks.

Suppose a continuous function y=f(x) has the following properties: lim f(x) as x->3=7

lim as h->0 f(3+h)-f(3)/h = 4

Find the equation of the tangent line to y=f(x) at x=3

My thinking: (x,y)=(3,7)
m=f'(3)=4
y-7=4(x-3)
y=4x-5

Answer 1

looks good to me...

Answer 2

Thanks