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Limits
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Learn it lim (x→a) f(x) is the value f(x) gets close to as x approaches a. If substituting gives 0/0, factor and cancel first. As x → ∞, rational functions approach their horizontal asymptote.
Example: lim (x→3) (x² − 9)/(x − 3)?
- Direct substitution gives 0/0.
- (x − 3)(x + 3)/(x − 3) = x + 3 → 6.
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