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Limits · Algebraic Mini-Quiz

A focused set of limit problems that build on each other — factor-and-cancel, then limits at infinity.

The questions

Earlier questions (Q1–Q3: factor-and-cancel and direct substitution) were covered in Discord and will be added to the site as part of a fuller set.

The meta-pattern

Two of the three techniques in this mini-quiz (limits at infinity) are covered here:

The other two techniques (factor-and-cancel for 0/0 forms, and direct substitution for continuous functions) appear in Q10 and Q3 of the main pretest respectively.

Once you can identify which case you're in, the answer is mechanical.

After the mini-quiz

For the full 15-question limits pretest with deeper worked solutions, see the main pretest.

built by Aida · 2026-06-25