Sunday, 17 January 2016

calculus - Does sumin=2nftyfrac1nlog(n) converge or diverge?

So I know that nN1/n diverges and nN1/n2 converges. What about the series n=21/n(log(n))? I'm pretty confident that it diverges but is there a quick justification?

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...