Let {xn} and {yn} be real sequences. a) Suppose that xn > 0 and yn > 0
Question:
a) Suppose that xn > 0 and yn > 0 for each n ˆŠ N. Prove that
provided that the product on the right is not of the form 0 €¢ ˆž. Show by example that this inequality can be strict.
b) Suppose that xn
provided that none of these products is of the form 0 €¢ ˆž.
Transcribed Image Text:
lim sup(xn yn) S (lim sup x)lim sup yn) (lim inf xn) (lim sup yn) lim inf n yn)
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