Calculus › Section B · Limits › Topic B.3
Evaluating limits with algebra
Graphs and tables suggest what a limit might be, but algebra proves it. A short toolkit, built on a handful of limit laws, turns most limits into exact calculations.
In this topic
- From guessing to certainty
- The limit laws
- Direct substitution first
- Reading the result of substitution
- Worked example: factor and cancel
- Why cancelling is honest
- Worked example: multiply by the conjugate
- The squeeze theorem
- Worked example: a trigonometric limit
- Common mistakes to avoid
- Key takeaways
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Standards: 1