Mathematics - Calculus - Pre-Calculus - Limits introduction - Understanding Limits

8 steps: (1) lim(x→a) f(x) = L means: as x gets closer to a, f(x) gets closer to L. (2) We DON'T need f(a) to exist! The limit is about what happens NEAR a, not AT a. (3) Left-hand limit: lim(x→a⁻) from values less than a. (4) Right-hand limit: lim(x→a⁺) from values greater than a. (5) Limit EXISTS

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Mathematics - Calculus - Pre-Calculus - Limits introduction - Understanding Limits
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Mathematics - Calculus - Pre-Calculus - Limits introduction - Understanding Limits

vivmagarwal
vivmagarwalJan 29, 2026

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8 steps: (1) lim(x→a) f(x) = L means: as x gets closer to a, f(x) gets closer to L. (2) We DON'T need f(a) to exist! The limit is about what happens NEAR a, not AT a. (3) Left-hand limit: lim(x→a⁻) from values less than a. (4) Right-hand limit: lim(x→a⁺) from values greater than a. (5) Limit EXISTS

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MathematicsCalculus - Pre-CalculusClass 12, A Level, Class 12, DP Grade 12, Grade 12

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