For each of the following sequences find the set S of subsequential limit points, the limit superior and limit inferior. Include ±∞ as possible limits. a) (xn) ∞ {n=1} = (0, 1, 2, 0, 1, 3, 0, 1, 4, ...) b) xn = n(2+(-1)n) c) xn = (n)(cos ((nπ)/2) )
For each of the following sequences find the set S of subsequential limit points, the limit superior and limit inferior. Include ±∞ as possible limits. a) (xn) ∞ {n=1} = (0, 1, 2, 0, 1, 3, 0, 1, 4, ...) b) xn = n(2+(-1)n) c) xn = (n)(cos ((nπ)/2) )
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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For each of the following sequences find the set S of subsequential limit points, the limit superior and limit inferior. Include ±∞ as possible limits.
a) (xn) ∞ {n=1} = (0, 1, 2, 0, 1, 3, 0, 1, 4, ...)
b) xn = n(2+(-1)n)
c) xn = (n)(cos ((nπ)/2) )
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