ENGLISH 45B Study Guide - Midterm Guide: Logarithmic Derivative, Quadratic Formula, Logarithm

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12 Feb 2018
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Topics for review for midterm i in calculus 10a. Be able to write precise de nitions for any of the following concepts (where appropriate: both in words and in symbols), to give examples of each de nition, to prove that these de nitions are satis ed in speci c examples. Wherever appropriate, be able to graph examples for each de nition. How does it compare to using taylor polynomials? (36) indeterminacies: quotient 0/0, : theorems and methods. Be able to write what each of the following theorems (laws, propositions, corollaries, etc. ) says. Conclusion lim x (cid:3) lim x (cid:3) lim x (cid:3) (cf (x)) = cl f1(x) f2(x) f1(f2(x)) = l2. L2 lim x (cid:3) lim x a f1(x)f2(x) = l1l2 lim x (cid:3) lim x (cid:3) lim x (cid:3) f1(x) = l1, lim x (cid:3) f (x) = l, c r f1(x) = l1, lim x (cid:3)

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