How do you evaluate limits in calculus?
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A limit describes what value f(x) approaches as x approaches some value. Methods: 1) Direct substitution — plug in the value. 2) Factoring — if you get 0/0, factor and cancel. 3) L'Hôpital's Rule — if 0/0 or ∞/∞, take derivatives of top and bottom. 4) Rationalization — multiply by conjugate for roots. Example: lim(x→2) (x²-4)/(x-2) = lim(x→2) (x+2)(x-2)/(x-2) = lim(x→2) (x+2) = 4.
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