Calculus Captain

Topic 1

Limits & Continuity

Learn what limx→c f(x) really means, how to handle 0/0 forms, conjugates and limits at infinity, when a function is continuous, and how to use the Intermediate Value Theorem to show an equation has a root.

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Preview of the Limits and Continuity cheat sheet
FreePDF · 1 page

Limits & Continuity Cheat Sheet

Every limit technique on one page: left and right limits, factoring 0/0 forms, conjugates, limits at infinity, the key identities, and the definition of continuity.

Preview of the Limits and Continuity Starter Pack
Free2 PDFs

Limits & Continuity Starter Pack

Four warm-up problems covering 0/0 limits, square roots and continuity of a piecewise function, with a separate solutions sheet to check your work.

  • Problem set (1 page)
  • Full solutions (1 page)

Practice packages

Full problem sets with step-by-step solutions.

2 PDFs

Limits & Continuity: 10 Problems Every Student Must Know

Ten exam-style problems on limits, continuity and the Intermediate Value Theorem, with a separate solutions PDF that works every problem step by step.

  • Problem set (1 page)
  • Full solutions (2 pages)

Both PDFs are sent to you right after purchase.

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2 PDFsAdvanced

Limits & Continuity: Challenging Problems to Ace Your Exam

The Limits & Continuity Master Class: ten harder problems with conjugates, limits at infinity, absolute values, continuity and the Intermediate Value Theorem, each solved step by step.

  • Problem set (1 page)
  • Full solutions (2 pages)

Both PDFs are sent to you right after purchase.

$11.99 Buy now

Videos

Watch the walkthroughs on YouTube.

6 Common Mistakes with Limits

Video coming soon.