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Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

Use the graph of ff shown.
Total: 5 points

(a) Find lim⁡x→−1f(x)\lim_{x\to-1}f(x). (1 point)

(b) Does lim⁡x→1f(x)\lim_{x\to1}f(x) exist? Justify using one-sided limits. (2 points)

(c) Write limit notation that describes the behavior of ff near x=3x=3. (2 points)

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