Doing calculus.

HSC

Just started it. We have the question f(x)=x^3 using

limf(x+h)-f(x)

h->0 h

f(x+h)= (x+h)³ =x³+3x²h+3xh²+h³

limx³+3x²h+3xh²+h³-x³

h->0 h

=3x²h+3xh²+h³

h

=h(3x²+3xh+h³)h

= 3x²+3xh+h³

I got it to there. what more has to be done.

I thought using h->0 would take it to this

lim 3x²+3xh+h³

h->0

So the h in the equation would become 0 and leave the equation at 3x²

Is this corerct?

Sorry it's a bit all over the place