Week 1: Calculus I Practice Problem Solutions
Practice Problem Solutions Problem 1. What is the tangent line to the graph of y= x+ ex at x= 0? Solution. The tangent line is given by ‘(x) = y(0) + y0(0)(x 0) = 1 + 2x. Problem 2. Evaluate lim x!0 (1 + x) 1 x for 2R Solution. Using l’H^opital’s rule, we see lim x!0 (1 + x) 1 x = lim x!0 (1 + x) 1 1 = : This gives a rst order ...
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