Paul’s Online Math Notes

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Some students have asked if there was online material that they could read or study.

  • Limits: This follows my explanation of a limit closely. Read examples 1 and 2.
  • Left and right handed limits:  Read examples 1 and 3. Practice problems here with solutions.  Remember that the left-handed limit is the limit as x approaches the value a from the left-hand side; \displaystyle\lim_{x \to a^{-}}f(x). We use the - symbol to denote the left-hand side. The right-handed limit is the limit of f(x) as x approaches the value a from the right-hand side; \displaystyle\lim_{x \to a^+} f(x). We use the + symbol to denote the right-hand side.
  • Limit properties: Read examples 1 and 2.
  • Computing Limits: More practice problems with solutions.
  • Continuity: Read examples 1 and 2. Practice problems here with solutions (try problems 1 and 2).

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