- #1
tandoorichicken
- 245
- 0
I know that a series such as
[tex]\sum_{n=1}^{\infty} \frac{1}{\sqrt{n}} [/tex]
is divergent. Is this also the case for an alternating version of the same series, i.e.,
[tex]\sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{\sqrt{n}} [/tex]
?
[tex]\sum_{n=1}^{\infty} \frac{1}{\sqrt{n}} [/tex]
is divergent. Is this also the case for an alternating version of the same series, i.e.,
[tex]\sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{\sqrt{n}} [/tex]
?