# Blog

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

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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
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. : )

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