Do you mind posting the whole problem as stated in your homework? The way you've written it is kind of vague.
Also, what "u" did you use and why?
Hey people, first post here?
I am stuck on a homework problem regarding sequences. Basically: Determine if the sequence {an} converges, and if it does, find its limit when the integral is 1/6x+8 from (n to 8n).
To start off with, I used u-substitution to get 1/6 x ln(u), but the limits of n to 8n are really throwing me off. Also our professor kind of rushed through the section on sequences without much examples. Any feed back is appreciated.
Thanks
That is all the problem says. Basically: an= the integral (from n to 8n) of 1/6x + 8. From first glance it looks like an ln problem, so my u=6x+8, and dx=1/6 du.
So I got 1/6 x ln(u), which is 1/6 x ln(6x+8). But the values of n to 8n are throwing me off. How would I find the limit to determine whether it is converging or diverging?
Also the answer choices are (online hw--quest): limit = 1/6 ln8, 1/6 ln4/3, sequence diverges, 1/6 ln1/8, ln8 (If these help)