Question

Find the limit, if it exists.

lim h -> 0, ((x+h)^3-x^3))/h

Answer 1

\[\lim_{h \rightarrow 0} \frac{(x + h)^3 - x^3}{h}=\]
\[\lim_{h \rightarrow 0} \frac{x^3 + 3x^2h+3xh^2+h^3 - x^3}{h}=\]
\[\lim_{h \rightarrow 0} \frac{3x^2h+3xh^2+h^3}{h}=\]
This should be easy to finish :)

Answer 2

its not

Answer 3

finish it

Answer 4

\[\lim_{h \rightarrow 0} \left(3x^2+3xh+h^2\right)=3x^2\]

Answer 5

is that the finished product?

Answer 6

its a multiple choice question but that isnt one of the answers i see

Answer 7

What answers are there?

Answer 8

A) 0 B) Does not exist C) 3x2 D) 3x2 + 3xh + h2

Answer 9

C

Answer 10

ohh i see sorry

Answer 11

thanks

Answer 12

are you sure?

Answer 13

Yes

Answer 14

ok