Concept explainers
Looking ahead (to Chapter 9) Suppose that a function f has derivatives of all orders near x = 0. By the Fundamental Theorem of Calculus,
- a. Evaluate the integral using
integration by parts to show that
- b. Show that integrating by parts n times gives
This expression, called the Taylor series for f at x = 0, is revisited in Chapter 9.
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Check out a sample textbook solutionChapter 7 Solutions
Student Solutions Manual, Single Variable for Calculus: Early Transcendentals
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