# Blog

## 3 Common Limit Problems You Must Know How to Solve

### As of September 2022, we're using our Forum for comments and discussion of this topic, and for any math questions. We'd love to see you there and help! Please tap to visit our Forum: community.matheno.com

Archive of comments from before we started our forum:
Subscribe
I'd like to be

2 Comments
Inline Feedbacks
View all comments
Laura
3 years ago

I need to find the limit of a cubic function.
“Let lim x->4 f(x)=9 and lim x->4 g(x)= 27. Use the limit rules to find the limit:
26. Find lim x->4 3square root over g(x).

My first thought was getting rid of the quare root so that I have g(x)^2/3. Please help

Matheno
Editor
Reply to  Laura
3 years ago

We’re happy to try to help. We know it’s hard to write math in comments, so first, we assume the question asks you to find
$\lim_{x \to 4} \sqrt[3]{g(x)} = ?$
If that’s the question, then limit rules let you move the limit inside the cube-root sign:
$\lim_{x \to 4} \sqrt[3]{g(x)} = \sqrt[3]{\lim_{x \to 4} g(x)} =\sqrt[3]{27} = 3 \quad \cmark$
(You probably need to reload your web page to make the math render correctly.)
Hope that does it! And if we didn’t read the question correctly, please let us know. : )

## Update September 2022

All of our content is now free, with the goal of supporting anyone who is working to learn Calculus well.

To access our materials, please simply visit our Calculus Home screen.

Also new: we've added a forum, Community.Matheno.com, also free to use.
If you need some help with a Calculus question, please post there and we'll do our best to assist!