Every Limit Law Carries a Hypothesis

You'll learnto take a limit piece by piece when the laws allow it, to spot the two ways their conditions fail, and to sort what substitution hands back before calling it an answer.

Two curves, and a third one built from them. If you know where each piece is heading, you usually know where the combination is heading too, and the exceptions are exactly where students lose marks. Twelve short steps; press Next for each one.

12 STEPS · 6 QUICK CHECKS · EVERY LAW CARRIES A HYPOTHESIS · v2

a law applies only where its condition holds · substitute, then sort the result

Before you start

What you're looking at

Three curves at once: two pieces, one amber and one violet, and in pink what you get by combining them.

The question

When can the limit of the combination be worked out from the limits of the pieces, and what happens when it cannot?

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