Question

convergent or divergent?

Answer 1

\[\sum_{1}^{\infty}(-1)^nx^n\]

Answer 2

it is divergent right ?

Answer 3

this is alternating series so it may be conditional or absolutely convergent or divergent

Answer 4

absolutely not convergent

Answer 5

it is not because you add and you subtract then add then subract

Answer 6

conditionaly divergent right?

Answer 7

libniz test, if I remeber

Answer 8

it oscillates between -1 to 1 hence divergent

Answer 9

oh yeah , had to look up leibniz test. When we take n to infinity this is not zero

Answer 10

yes no limit hence diverges

Answer 11

thanks for anwers!

Answer 12

np, I just realized how much I've forgotten about calc 2