00:01
Hello students, let us discuss the solution of this question here.
00:04
A series is given to be a summation n going from 1 to infinity, 6n divided by n factorial, which is equal to n going from 1 to infinity, 6 multiplied with 12 multiplied with 18 and so on multiplied with 6n whole divided by n factorial.
00:22
This is a series and with the help of ratio test, we have to find whether the series is convergent or divergent.
00:28
So let us solve this question.
00:32
So let me tell you what is the ratio test.
00:35
Ratio test is for any series, a .n.
00:41
We define l such that l is equal to limit n tends to infinity.
00:48
Summing mod of a .n plus 1 divided by a .n.
00:56
This is the limit l.
00:58
And if this l comes to be less than 1, then the series is absolute convergent.
01:04
If l is greater than 1, the series is divergent and if l is equal to 1, the test is inconclusive...