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Step-by-step Solution

Evaluate the limit of $x^3+x-30$ as $x$ approaches $3$

Go!
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Answer

$0$

Step-by-step explanation

Problem to solve:

$\lim_{x\to3}\left(\frac{x^3+x-30}{x^3-x-18}\right)$
1

Evaluate the limit by replacing all occurrences of $x$ by $3$

$\frac{3^3+3-30}{3^3-1\cdot 3-18}$
2

Simplifying

$0$

Answer

$0$

Problem Analysis

$\lim_{x\to3}\left(\frac{x^3+x-30}{x^3-x-18}\right)$

Time to solve it:

~ 0.33 seconds