Calculus › Section B · Limits › Topic B.2

Finding limits from graphs and tables

Before we learn to compute limits with algebra, we learn to see them. Graphs and tables show where a function is heading — and just as importantly, they reveal when it is heading nowhere at all.

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In this topic

Where we are
The idea, stated plainly
Reading a limit from a graph
Worked example: a graph with a hole
Reading a limit from a table
Worked example: a cyclist's speed from a table
When limits fail: the two sides disagree
When limits fail: blow-ups and wiggles
Why tables and graphs are not proof
Worked example: spotting failure from numbers
Common mistakes to avoid
Key takeaways

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Standards: 1

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