- #1
Bear_B
- 18
- 0
Homework Statement
lim as h->0 of (f(x(sub 0)+h)-f(x(sub 0))/h
f(x)=3[tex]\sqrt{x}[/tex]+2
x(sub 0)=9
Homework Equations
limit laws and factoring (my first post, not sure what I need to write here)
The Attempt at a Solution
=lim as h->0 of (f(9+h)-f(9)0/h
=lim as h->0 of (3[tex]\sqrt{9+h}[/tex]+2-(3[tex]\sqrt{9}[/tex]+2)/h
=lim as h->0 of (3[tex]\sqrt{9+h}[/tex]+2-3[tex]\sqrt{9}[/tex]-2)/h
=lim as h->0 of (3[tex]\sqrt{9+h}[/tex]-9)/h
I am stuck here. I know I need to somehow move h out of the denominator(most likely by factoring) but am stuck on how to deal with the radical in the numerator.