Menu Close

s-n-k-n-1-oo-1-k-ln2-k-1-oo-1-k-1-k-




Question Number 181784 by SANOGO last updated on 30/Nov/22
s_n =Σ_(k=n+1) ^(+oo) (1/k)=ln2  Σ_(k=1) ^(+oo) (((−1)^(k−1) )/k)=?
$${s}_{{n}} =\underset{{k}={n}+\mathrm{1}} {\overset{+{oo}} {\sum}}\frac{\mathrm{1}}{{k}}={ln}\mathrm{2} \\ $$$$\underset{{k}=\mathrm{1}} {\overset{+{oo}} {\sum}}\frac{\left(−\mathrm{1}\right)^{{k}−\mathrm{1}} }{{k}}=? \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *