MATH 140 Study Guide - Quiz Guide: Intermediate Value Theorem, Write-Off, Asymptote

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Sample exam problems and solutions: problem 1: determine which of the limits below exist as a number, which as , which as , and which do not exist. Final answer: 6: 1c. lim x 0 sin x x2. Separate: sin x x ( 1 x) lim x 0. Thus, lim x 0 sin x x. Find left and right handed limits: x 0 1 x lim x 0+ 1 x lim. Then write an equation of the line tangent to the graph of h at the same point. lim x 2 f (x) f ( 2) x +2. + x x x x+2 lim x 2. Suppose that x+1