## anonymous one year ago could you also help me with (-1)^(n+1)(11^(n-1))/((n+7)^6(10^(n+2)) for L and where the equation editor is?

1. Loser66

I don't get what you mean by where the equation editor is? Your problem : $L=\dfrac{(-1)^{n+1}*(11^{n-1})}{(n+7)^6*(10^{n+2})}$ right? and what are we supposed to do?

2. anonymous

find L value

3. anonymous

thanks!

4. Loser66

find L value for n =??

5. anonymous

yes

6. anonymous

looking to find the value of L in the ratio test

7. Loser66

You meant test whether the sequence converges or diverges?

8. anonymous

yes

9. jtvatsim

Not necessarily related to your problem, but you asked where the equation editor is, you'll find it here: (see attached)

10. Loser66

11. jtvatsim

Ah... I was hoping you knew... Let me dust off the Calculus part of my brain. If I recall, it's pretty straightforward. :)

12. jtvatsim

The ratio test says that we evaluate $L = \lim_{n \rightarrow \infty} | \frac{a_{n+1}}{a_n} |$

13. jtvatsim

The criteria are that if L < 1 the series converges absolutely, if L > 1 the series diverges, and if L = 1, we have no clue.

14. jtvatsim

So, with your current question, we have a very ugly fraction to take care of, but let's see what we get...

15. jtvatsim

I'm not going to type out the gigantic intermediate steps, but I will clarify if you get an answer different than mine.

16. jtvatsim

OK, I've gotten to this point so far

17. jtvatsim

$\lim_{n \rightarrow \infty} | - \frac{11 (n+7)^6}{10 (n+8)^6} |$

18. jtvatsim

Is that somewhat similar to what you got after simplifying?

19. anonymous

yes you don't have to do the steps just struggling with may answer part, i have gotten many problems right so far but for some reason can't get this one

20. anonymous