MATH 231 Study Guide - Midterm Guide: Squeeze Theorem, Piecewise, Power Rule
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Expand out things like (x + 2)3: other tricks to evaluate limits. Plug in values to nd limits for a continuous function. Look at limits from left and right and keep track of positive and negative signs and large. 0 , where means a non-zero number, like and small numbers for limits that have the form : limits of limx 3 x + 1 x 3. Limx a+ f (x) = , limx a f (x) = , or limx a f (x) = at a nite number a corresponds to vertical asymptotes: limits at and . Evaluating limits at in nity by looking at highest power terms on numerator and denominators. Evaluating limits at in nity by factoring out highest powers of x from the numerator and x4 using the squeeze theorem sin(x2) denominator. Evaluating limits at in nity by factoring out highest power of x, or by multiplying and dividing by the conjugate, as in limx .
