What’s on the L'Hopital's Rule poster
The rule, 3 worked examples, and the mistake everyone makes.
- For a 0/0 or ∞/∞ limit with g′ nonzero nearby, lim f/g equals lim f′/g′ whenever that…
- lim f(x)/g(x) = lim f′(x)/g′(x)
- lim x→0 sin x / x = 1
- lim x→∞ ln x / x = 0
- lim x→0 (e^x − 1)/x = 1
- Common mistake: Differentiating f/g with the quotient rule → Differentiating f and g…
Check the form first. Applied to a limit that is not 0/0 or ∞/∞, the rule returns a confident wrong answer.
Questions about the L'Hopital's Rule poster
- What’s on the L'Hopital's Rule poster?
- The rule, 3 worked examples, and the mistake everyone makes. For a 0/0 or ∞/∞ limit with g′ nonzero nearby, lim f/g equals lim f′/g′ whenever that…; lim f(x)/g(x) = lim f′(x)/g′(x); lim x→0 sin x / x = 1; lim x→∞ ln x / x = 0; lim x→0 (e^x − 1)/x = 1; Common mistake: Differentiating f/g with the quotient rule → Differentiating f and g…. Check the form first. Applied to a limit that is not 0/0 or ∞/∞, the rule returns a confident wrong answer.
- Who is the L'Hopital's Rule poster for?
- L'Hopital's Rule 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 L'Hopital's Rule poster?
- Only after confirming the limit really is 0/0 or infinity over infinity. A wall chart earns its place by being glanceable from where the work is happening, so L'Hopital's Rule belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with L'Hopital's Rule?
- The Chain Rule, Derivative Rules and Fundamental Theorem sit alongside L'Hopital's Rule 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 L'Hopital's Rule poster free to download and print?
- Yes. L'Hopital's Rule 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 L'Hopital's Rule poster print at?
- L'Hopital's Rule 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 L'Hopital's Rule loses nothing.Printing guide
Related posters
Charts that sit alongside L'Hopital's Rule on the same wall.
Browse every Mathematics poster, or start from the full catalogue.