Question 5: (Continued) Recall that (xm) and (yn) are given by: xn = 1++÷+ .+- and yn = Xn + .+ and yn = Xn + ... 1! 2! b) Show that the sequence (yn) is convergent c) Show that lim Xn = lim yn n00 n-00

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 5: (Continued)
Recall that (xn) and (yn) are given by: xn = 1 +÷+
+ ...+– and yn = Xn +
1!
2!
n!
b)
Show that the sequence (yn) is convergent
c)
Show that lim Xn = lim yn
n-00
n→00
Transcribed Image Text:Question 5: (Continued) Recall that (xn) and (yn) are given by: xn = 1 +÷+ + ...+– and yn = Xn + 1! 2! n! b) Show that the sequence (yn) is convergent c) Show that lim Xn = lim yn n-00 n→00
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