Question

Find the limit. (If an answer does not exist, enter DNE.)

Answer 1

Given:

`\lim _(\Delta x\to0)\frac{6(x+\Delta x)-6x_{}}{\Delta x}`

Solve as:

`\begin{gathered} \lim _(\Delta x\to0)(6x+6\Delta x-6x)/(\Delta x)=\lim _(\Delta x\to0)(6\Delta x)/(\Delta x) \\ =6 \end{gathered}`

Hence, the required answer is 6.