## Math2400 one year ago True or false....i believe it's false because not both intervals should be included..posting question

1. Math2400

The series $\sum_{n=1}^{\infty} (-2x)^{n}$ converges on the interval $\frac{ -1 }{ 2 } < x < \frac{ 1 }{ 2 }$

2. Zarkon

true

3. Math2400

it's not supposed to be |dw:1433703146278:dw|

4. Zarkon

plug in -1/2 what do you get?

5. Math2400

1

6. Zarkon

$\sum_{n=1}^{\infty} (-2(-1/2))^{n}=\sum_{n=1}^{\infty} 1=\infty$

7. Math2400

okkayy i see. Thank you :)

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