lim(n->∞) (6^n +5)/(6^n+1) = 1
so I doubt the series converges
∑from1 to ∞((6^n +5)/(6^n+1)
3 answers
Are you using the diverges test? How did you got 1?
as n gets huge, the terms approach 6^n/6^n = 1 (6^n is so huge that the +5 and +1 make no difference)
for any series to converge, the terms of the sequence need to go to zero.
These terms approach 1, so the series becomes
...+ 1+1+1+1...
no way that can converge
you can also try the ratio test. The ratio of two successive terms must be less than 1. Yours is exactly 1.
for any series to converge, the terms of the sequence need to go to zero.
These terms approach 1, so the series becomes
...+ 1+1+1+1...
no way that can converge
you can also try the ratio test. The ratio of two successive terms must be less than 1. Yours is exactly 1.
2 answers