17. Find the sum of the series∞summationdisplayn=1n2n-1.(a) 1(b) 2(c) 3(d) 4(e) 5(f) The series diverges.18. Consider the polynomial 1-x22!as an approximation to cos(x) on the closed interval-1≤x≤1. What is the best bound on the error that is given by Taylor’s inequality?19. What is the general solution of the differential equationdydx=-xyy2+ 1? What is thebehavior of the solutions asx→ ∞?20.Which of the following curves is an orthogonal trajectory to the family of curvesx24+y29=C, whereCis an arbitrary positive constant?3
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