Hi, I couldnt do these 3 questions. Anyone can help which method to use please? I tried divergence test for d. but I got 0 which means divergence test failed. and.... h) I used l'ho and got 1. is that correct?
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The first is a series with $$a_n=-\frac{1}{n(n+1)}$$ here $|a_n|<1/(n+1)^2$ and since $\sum_{i=2}^{\infty}1/n^2$ converges the series here converges absolutely and so converges by the comparison test. .
Originally Posted by csc Hi, I couldnt do these 3 questions. Anyone can help which method to use please? I tried divergence test for d. but I got 0 which means divergence test failed. and.... h) I used l'ho and got 1. is that correct? For the second two you should note that $\lim_{n \to \infty} a_n =1$ so they do not converge. .
Originally Posted by zzephod For the second two you should note that $\lim_{n \to \infty} a_n =1$ so they do not converge. . $\displaystyle\[{\lim _{x \to \infty }}\frac{{\sin \left( {{n^{ - 1}}} \right)}}{{{n^{ - 1}}}} = 1$
Last edited by Plato; March 27th 2014 at 07:10 AM.
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