Why does the infinite sum [math]\displaystyle\sum_{n=2}^{\infty}(-1)^n\dfrac{1}{\ln(n!)}[/math] converge?
Does [math]\displaystyle\sum_{n=1}^\infty {(-1)^n} {n^2}[/math] converge?
מדוע הסכום האינסופי [math]\displaystyle\sum_{n=2}^{\infty}(-1)^n\dfrac{1}{\ln(n!)}[/math] מתכנס?
האם [math]\displaystyle\sum_{n=1}^\infty {(-1)^n} {n^2}[/math] מתכנס?