Question

Find the limit if it exists.

Answer 1

\[\lim_{\Delta x \rightarrow 0} \frac{ (x+\Delta x)^{2} -x ^{2} }{ \Delta x }\]

Answer 2

can u expand the numerator?
use (a+b)^2 - a^2+2ab+b^2

Answer 3

I get 2xh + h^2 as the numerator after expanding and simplifying. When deltax = h.

Answer 4

okk,take h common from numerator.

Answer 5

The final answer is 2x?

Answer 6

yup,
because h gets cancelled from numerator and denominator.

Answer 7

thanks again!

Answer 8

welcome :)