Friday, September 30, 2016

Single Variable Calculus, Chapter 3, Review Exercises, Section Review Exercises, Problem 46

Determine limt0t3tan32t


limt0t3tan32t=limt0t3sin32tcos32t=limt0t3sin32tcos32tIf we introduce 88 such that...limt0t3tan32t=limt08t3sin32tcos32t8we can rewrite the limit as...limt0t3tan32t=limt0(2tsin2t)3cos32t8recall that limt0sintt=1limt0t3tan32t=limt0(1)3limt0cos32(0)8limt0t3tan32t=118limt0t3tan32t=18

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