Analyzing functions for discontinuities: algebraic

Solomon Xie
Calculus Basics
Published in
1 min readJan 23, 2019

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If the limits of both side of some point, are EQUAL, then it’s continuous at this point.

At a point a, for f(x) to be continuous at x=a, we need lim(x→a)f(x) = f(a).

Example

Solve:

  • Got the limit of left side is -1/2
  • Got the limit of right side is -1/2
  • They’re equal, so it’s continuous at this point.

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Solomon Xie
Calculus Basics

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