Prove that $x^2$ is continuous.

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Lesson Parent: 
Function Limits VI: Continuous Functions
Problem: 

Prove that $x^2$ is continuous.

Answer: 

$x^2$ is continuous everywhere.

SAMPLE SOLUTION

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Solution: 

We have already done this here. Note that in the proof we did not restrict $a$ to any particular value. This means that <Sign in to see all the formulas> is continuous everywhere.