Yes, that is correct. Good work!
Doing calculus.
HSC
Just started it. We have the question f(x)=x^3 using
lim f(x+h)-f(x)
h->0 h
f(x+h)= (x+h)³ =x³+3x²h+3xh²+h³
lim x³+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