(-1)^n(x+2)^n
______________
sqrt(n)*3^n
i use the ratio test abs(bn+1/bn), then plug and chug and I get:
sqrt(n)|x+2|
___________
3*sqrt(n+1)
=
|x+2|
________
3
the problem is, i try maple and it gets absolutely no where near that...rather, it gets infinity.???
I need to be able to find the int of convergence. thanks
I get what you get as the interval of convergence.
Now subtract 2 form both sides and you get
Here is a different approach to this problem i was taught in my DE book.
Now take L=
and p =
and is p is equal to radius of convergence which is 3
so now
when x = -5, the series is
which diverges by the p test
when x = 1, the series is
which converges through the alternating series test
so