Question

If lim h approaching 0 of (f(2+h)-f(2))/(h)=1 what must be true, and how do you find it?
1) lim of x approaching 2 f(x)=1
2) f is continuou at x=2
3) inverse of f(2)=1

Answer 1

inverse has nothing to do with derivative or slope being 1

1) is wrong, slope = 1 NOT f(2) =1

must be 2)
you can only evaluate derivative at a point if the function is continuous at that point

Answer 2

Ok thank you

Answer 3

yw :)