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Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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9(2) alU analvtic at z with math S(20) = f'(20) = g(20) = g'(20) : If g(m) (zo) # 0, show that f(n-1)(20) = 0, g(n-1)(20)= 0. lim z-żo g(z) f(n) (20) f(2) g(n)(zo) This is a generalization of Theorem 5.26. 1. Evaluate the following limits, using either the previous exercise or The- orem 8.8. ez - 1- z sin z ta) lim (b) lim 22 sin z. sin z – z z-0 ez - 1 z-0 COs z-1
Transcribed Image Text:9(2) alU analvtic at z with math S(20) = f'(20) = g(20) = g'(20) : If g(m) (zo) # 0, show that f(n-1)(20) = 0, g(n-1)(20)= 0. lim z-żo g(z) f(n) (20) f(2) g(n)(zo) This is a generalization of Theorem 5.26. 1. Evaluate the following limits, using either the previous exercise or The- orem 8.8. ez - 1- z sin z ta) lim (b) lim 22 sin z. sin z – z z-0 ez - 1 z-0 COs z-1
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