QuestionFind the limit: $\lim _{h \rightarrow 0} \frac{(x+h)^{2}-x^{2}}{h}$.

Studdy Solution
Finally, substitute $h =0$ into the expression to find the limit.
$$\lim{h \rightarrow0}2x + h =2x +0 =2x$$The limit as $h$ approaches $0$ of $\frac{(x+h)^{2}-x^{2}}{h}$ is $2x$.