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Functions, Graphs, and Limits Resources

Best of the Web. Picked by our PhDs

Websites

How to Solve Limits with a Calculator: For Dummies

Ever read German For Dummies or Stock Investing For Dummies? Turns out they made Limits For Dummies, too. With this website, learn about limits and follow one quick link to learn how to perfect your soufflé—and other than calculus, everyone wants to know how to make a great soufflé.

How to Solve Limits at Infinity by Using Horizontal Asymptotes

Also from For Dummies, this link shows you how to relate horizontal asymptotes to limits of functions. It's sort of like relating long lines to the seemingly endless wait time for the most popular roller coaster at the amusement park, but with a slightly less exciting payoff.

Basic Limit Laws

Here's a quick guide to manipulating limits. If only your math teacher could have made geometric proofs this easy.

Wolfram MathWorld: Division by Zero

Yes, everyone's been lying to you. Sometimes, you actually can divide by zero.

(x, why?) 373: Speed Limit

Imagine driving down the road and seeing this. If you don't solve this fast enough, you better hope the officer failed the limits exam in his calculus class.

Videos

Evaluating Limits Problems 1: Based on Algebra of Limits of Calculus

Here's some extra explanation on how to solve a few limit problems. Now you know we weren't just waving our hands like a poorly performed magic trick.

Limits at Infinity: Basic Idea and Shortcuts!

The paradox of a shortcut to the limit at infinity is complicated enough to spark a drawn-out debate with your philosophy professor. Alternatively, you could watch this video and learn a few neat tricks to determine limits in special cases.

Finding Limits of Trigonometric Functions in Infinity: Infinity Form & When x Tends to 90 Degrees

Just when you thought you were through with trigonometry, it rears its ugly head. Don't worry—we have your back. This video will teach you the basics of trig function limits.

Finding Limits Using the TI-89

A stranger walks up to you and asks you to solve a difficult limit problem or hand over your lunch money. (True story. Mostly.) If you don't have a laptop handy, this video will show you how you can nerd it out and use a calculator instead.

Games and Tools

Online Limits Calculator

Have you ever gone down a road without knowing which way it leads or if it even ever ends? (So that's why nobody wants to ride with us when we volunteer to drive.) Some limits of functions can feel that way, too. This limit-finding tool is the GPS you need to find your way to any limit.