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Problema 22461 G.M. 9/1991, sir convergent
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Problema 22461 G.M. 9/1991, sir convergent
Posted:
Wed Nov 14, 2007 5:03 pm
by
Bogdan Cebere
Demonstrati ca sirul
\( {d_{n}}=-\ln n+\sum_{k=1}^n\sin{ \frac{1}{k}}\ \)
este convergent.
D. M. Batinetu-Giurgiu
Posted:
Tue Jul 08, 2008 10:54 pm
by
Marius Mainea
Se foloseste sirul lui Euler
\( a_n=\sum_{k=1}^n {\frac{1}{k}}-\ln n \)
si faptul ca
\( \sin x\leq x \)
pentru orice
\( x\geq 0 \)
.