Mathematics
Mathematics, 11.10.2019 21:30, swagluxry

An = cos(npi/2). if convergent find limit of sequence?

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Mathematics, 01.08.2019 02:20, bdbsjncns
Given: an = [6 n/(-4 n + 9)]for both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. if convergent, enter the limit (for a sequence) or the sum (for a series). if divergent, enter inf if it diverges to infinity, minf if it diverges to minus infinity, or div otherwise.(a) the sequence {an }) the series ∑n=1∞( an : in order to get credit for this problem all answers must be correct. show all steps. i must be makeing asilly mistake.
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Mathematics, 12.09.2019 21:20, Squara
Given: an = [6 n/(-4 n + 9)] for both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. if convergent, enter the limit (for a sequence) or the sum (for a series). if divergent, enter inf if it diverges to infinity, minf if it diverges to minus infinity, or div otherwise. (a) the sequence {an } (b) the series ∑n=1[infinity]( an
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Mathematics, 06.10.2019 08:30, Blazingangelkl
Let (xn) be a bounded sequence, and for each n ∈ n let sn : = sup{xk : k ≥ n} and tn : = inf{xk : k ≥ n}. prove that (sn) and (tn) are monotone and convergent. also prove that if lim sn = lim tn, then (xn) is convergent. [one calls limsn the limit superior of (xn), lim sup xn, and lim tn the limit inferior of (xn), lim inf xn.]
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