- #1
esuahcdss12
- 10
- 0
I need to prove that the limit of the sequence is as shown(0):
1.limn→∞ n*q^n=0,|q|<1
2.limn→∞ 2*n/n!
but I need to do this using the convergence tests. With the second sequence I tried the "ratio test", and I got the result
limn→∞ 2/n+1
which means that L in the ratio test is 0 and so it proves that the sequence converges, but how now should i prove that the limit is indeed 0? I can't use the L'Hopital's rule.
and for the first sequence I am not sure where to start.
can you help please?
1.limn→∞ n*q^n=0,|q|<1
2.limn→∞ 2*n/n!
but I need to do this using the convergence tests. With the second sequence I tried the "ratio test", and I got the result
limn→∞ 2/n+1
which means that L in the ratio test is 0 and so it proves that the sequence converges, but how now should i prove that the limit is indeed 0? I can't use the L'Hopital's rule.
and for the first sequence I am not sure where to start.
can you help please?
Last edited:
