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Problem 7. For every nЄ N, define x = n 1 n.n!' with m≥n, we have xm - xn] < n, and deduce that the sequence (x) converges to some a ЄR. k=1 (-1)+1 k! Show that for every m, n E N

Problem 7. For every nЄ N, define x = n 1 n.n!' with m≥n, we have xm - xn] < n, and deduce that the sequence (x) converges to some a ЄR. k=1 (-1)+1 k! Show that for every m, n E N

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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Problem 7. For every nЄ N, define x = n 1 n.n!' with m≥n, we have xm - xn] < n, and deduce that the sequence (x) converges to some a ЄR. k=1 (-1)+1 k! Show that for every m, n E N
Transcribed Image Text:Problem 7. For every nЄ N, define x = n 1 n.n!' with m≥n, we have xm - xn] < n, and deduce that the sequence (x) converges to some a ЄR. k=1 (-1)+1 k! Show that for every m, n E N
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