Limits & ContinuityThe limit laws, and the three conditions continuity actually requires.MathematicsA limit describes approach, not arrival.Limit laws (both limits must exist)Sum: lim(f + g) = lim f + lim gProduct: lim(fg) = (lim f)(lim g)Quotient: lim(f/g) = lim f ÷ lim g, lim g ≠ 0Composition needs g continuous at lim fSqueeze: g ≤ f ≤ h with equal outer limitsf is continuous at a whenf(a) is definedlim f(x) as x → a existsThat limit equals f(a)Both one-sided limits agreeFailures: removable, jump, infiniteA limit can exist where the value does not. sin(x)/x → 1 as x → 0although f(0) is undefined.Limits & Continuitylearnposters.com
Limits & Continuity — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Limits & Continuity poster

10 entries in 2 groups.

A limit describes approach, not arrival.

A limit can exist where the value does not. sin(x)/x → 1 as x → 0 although f(0) is undefined.

Questions about the Limits & Continuity poster

What’s on the Limits & Continuity poster?
10 entries in 2 groups. A limit describes approach, not arrival. Limit laws (both limits must exist): Sum: lim(f + g) = lim f + lim g, Product: lim(fg…; f is continuous at a when: f(a) is defined, lim f(x) as x → a exists, That limit equa…. A limit can exist where the value does not. sin(x)/x → 1 as x → 0 although f(0) is undefined.
Who is the Limits & Continuity poster for?
Limits & Continuity belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning calculus can pin it up — a beginner, a student mid-course, or someone revising years later.
When should you use the Limits & Continuity poster?
Before differentiating, check the limit exists and f is continuous there. A wall chart earns its place by being glanceable from where the work is happening, so Limits & Continuity belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Limits & Continuity?
The Chain Rule, Derivative Rules and Fundamental Theorem sit alongside Limits & Continuity in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.The Chain RuleDerivative RulesFundamental Theorem
Is the Limits & Continuity poster free to download and print?
Yes. Limits & Continuity downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Limits & Continuity poster print at?
Limits & Continuity is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Limits & Continuity loses nothing.Printing guide

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