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

asked Sep 19, 2023 49.1k views

1 vote

by EFC

4.5k points

Please log in or register to add a comment.

4 votes

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.

Cloy answered Sep 23, 2023

by Cloy

4.3k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

4.5m questions

5.8m answers