3. (a) 、--. Prove that for every sequence (n)-1 such that lim n = ∞, we 818 Let f: (0, ∞)→ R. Assume that lim f(x) = ∞o. 818 have lim f(n) = ∞. 14x (b) .. ) Let pn denote the n'th prime number (e.g., p1 = 2, p2 = 3, ...). Compute the following limit lim 818 3p²+Pn (1 + 1) ³0² +4Pm

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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By Hand solution needed Kindly solve this question with both parts in the order to get positive feedback please show me neat and clean work for it Please do by hand solution of both parts
3.
818
(a) 、--. Let f: (0, ∞)→→ R. Assume that lim f(x) = ∞o.
Prove that for every sequence (n)-1 such that lim n = ∞, we
81x
have lim f(n) = ∞0.
84x
(b)
) Let pn denote the n'th prime number
(e.g., p1 = 2, p2 = 3, ...).
Compute the following limit
lim
818
3p²+Pn
(1 + 1) ³0² + P²
Transcribed Image Text:3. 818 (a) 、--. Let f: (0, ∞)→→ R. Assume that lim f(x) = ∞o. Prove that for every sequence (n)-1 such that lim n = ∞, we 81x have lim f(n) = ∞0. 84x (b) ) Let pn denote the n'th prime number (e.g., p1 = 2, p2 = 3, ...). Compute the following limit lim 818 3p²+Pn (1 + 1) ³0² + P²
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