Question

True or false....i believe it's false because not both intervals should be included..posting question

Answer 1

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

Answer 2

true

Answer 3

it's not supposed to be

Answer 4

plug in -1/2 what do you get?

Answer 5

1

Answer 6

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

Answer 7

okkayy i see. Thank you :)