## AP CALC AB MIDTERM REVIEW

AB CALC AP MIDTERM REVIEW SHEET Limits Limit of a constant is a constant 0/? -> 0 Value/0 -> ?? or DNE 0/0 or ?/? Factor Rationalize L?Hospital?s Rule (derivative of numerator? derivative of denominator) End behavior (x->?) look at highest power of numerator and denominator Special Limits: (used in trig limits) Lim(x->0) [sinx/x] =1 Lim(x->0) [(cosx -1)/x] =0 Lim(x->0) [tanx/x] =1 Local Linear Approximation Approximation of a value on a function using a linear function f(x) ? f(xo) + f?(xo) (x - xo) Continuity A function f is continuous at point c if: F(c) is defined Lim(x->c) f(x) exists F(c) = limit Intermediate Vale Theorem