Find the limit infimum and the limit supremum of each of the following sequences. a) xn =
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a) xn = 3-(-1)n
b) xn = cos {nπ/2)
c) xn = (-l)n+1 + (-!)n/n
d) xn = √1 + n2/(2n - 5)
e) xn = yn/n, where {yn} is any bounded sequence
f) xn = n(1 + (-1)n) + n-1((-1)n - 1)
g) xn = (n3 + n2 - n + l)/(n2 + 2n + 5)
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a Since 31 n 2 when n is even and 4 when n is odd lim sup n x n 4 ...View the full answer
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