Question : Test the convergence of the series
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use the divergence test to show that the limit as n->infinity =3/2 so it diverges
Originally Posted by Sam1111 use the divergence test to show that the limit as n->infinity =3/2 so it diverges Can u please provide me with the starting few steps
The divergence test states that if the limit of 3n/(2(n+1)) doesnt = 0 then the series diverges. So take the limit of 3n/(2(n+1)) by dividing everything by the highest power in the denominator. Then evaluate this letting n->infinity.
Originally Posted by Sam1111 The divergence test states that if the limit of 3n/(2(n+1)) doesnt = 0 then the series diverges. So take the limit of 3n/(2(n+1)) by dividing everything by the highest power in the denominator. Then evaluate this letting n->infinity. I am not so good with the convergent / divergent series so i dont know whether i have done correctly or no please check and let me know = = = then series is divergent is divergent
Originally Posted by zorro I am not so good with the convergent / divergent series so i dont know whether i have done correctly or no please check and let me know = = = then series is divergent is divergent No no no ... A series converges only if . In your case . CB
Originally Posted by CaptainBlack No no no ... A series converges only if . In your case . CB Thats what i am saying the series is divergent ...........since U got me there mite i am confused now
Originally Posted by zorro Thats what i am saying the series is divergent ...........since U got me there mite i am confused now No since it's divergent because which is not the same thing as you posted. To see this consider: So if we have and yet the series converges, but we do have since this is a necessary condition for the series to converge. CB
Originally Posted by CaptainBlack No since it's divergent because which is not the same thing as you posted. To see this consider: So if we have and yet the series converges, but we do have since this is a necessary condition for the series to converge. CB So u mean to say i should have posted as that is why the series is divergent is tht correct
Originally Posted by zorro So u mean to say i should have posted as that is why the series is divergent is tht correct Yes. CB
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