# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\lim_{x\to0}\left(\frac{x^3\cot\left(x\right)}{1-\cos\left(x\right)}\right)$

Learn how to solve limits problems step by step online.

$\frac{0^3\cot\left(0\right)}{1-\cos\left(0\right)}$

Learn how to solve limits problems step by step online. Evaluate the limit of (x^3cot(x))/(1-cos(x)) as x approaches 0. Evaluate the limit by replacing all occurrences of x by 0. Simplifying. section:If the limit is undefined, we need to find the left side and right side limits. The limit is undefined.

$\infty$

### Problem Analysis

$\lim_{x\to0}\left(\frac{x^3\cot\left(x\right)}{1-\cos\left(x\right)}\right)$

Limits

~ 0.08 seconds