MATA37H3 Study Guide - Final Guide: Binary Logarithm, Taylor Series, Squeeze Theorem
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Carefully tear this page off the rest of your exam. The (natural) logarithm and exponential functions (1) the (natural) logarithm function is de ned: log x = (cid:90) x. Then we de ne the inverse trigonometric functions by arcsin = f 1, arccos = g 1, arctan = h 1. L(f,p) = mj(tj tj 1) where p = {t0, t1, . , tn} with ti < ti+1 for all i, and mj = inf{f (x) : x [tj 1, tj]}. Please read the following statement and sign below: I understand that any breach of academic integrity is a violation of the code of behaviour on academic matters. By signing below, i pledge to abide by the code. Mata37h3 page 2 of 10 (1) prove each of the following assertions. Given m, it suf ces to show that log x > m for all suf ciently large x. By the archimedean property, there exists a natural number n >
