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data/knowledge_base/limits.md
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# Limits – Key Rules
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## Standard Limits
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lim (x → 0) sin x / x = 1
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lim (x → 0) (1 − cos x) / x² = 1/2
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## Techniques
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- Factorization
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- Rationalization
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- Standard identities
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## Infinite Limits
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If f(x) → ∞ as x → a, limit diverges
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## Common Mistakes
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- Cancelling terms incorrectly
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- Ignoring domain restrictions
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