Calculus: Single And Multivariable
Calculus: Single And Multivariable
7th Edition
ISBN: 9781119444190
Author: Hughes-Hallett, Deborah; Mccallum, William G.; Gleason, Andrew M.; Connally, Eric; Kalaycioglu, Selin; Flath, Daniel E.; Lahme, Brigitte; Lomen, David O.; Lock, Patti Frazer; Lovelock, David; Morris, Jerry; Lozano, Guadalupe I.; Mumford, David; Quinney, D
Publisher: WILEY
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Chapter 10.2, Problem 28E
  1. (a) Find the tangent line approximation to the function g whose Taylor series is

g(x)=ln5n=12n.(n1)!5nxn.

  1. (b) What are the slope and y-intercept of this line?
  2. (c) Is the tangent line above or below the graph of g?
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For the following function f and real number a, a. find the slope of the tangent line mtan = f' (a), and b. find the equation of the tangent line to f at x = a. f(x)= 2 = a = 2 x2 a. Slope: b. Equation of tangent line: y
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