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Calculus · LIM

Evaluate Limits Algebraically — Substitution and Factoring

Evaluate lim_{x→c} f(x) by direct substitution (if continuous) or by factoring and canceling the 0/0 form.

CalculusCommon Core LIM-1.CLIMVerified correct ✓

Worked examples

Find lim x→-3 [x**3 - 3*x**2 + 3*x + 2].
Answer: -61

Find lim x→3 [(3*x**2 - 8*x - 3) / (3*x**2 - 5*x - 12)].
Answer: 10/13

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Introduction to Limits — Evaluating Limits Numerically and Algebraically Continuity — Definition and Types of Discontinuity

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