Limit

[Sinistral]

plz help me with this:

  lim          n* (-1)^n
n -> ∞     ------------
                 (1+n)

[Xiang]

hey! what is the answer?

[Sinistral]

dont know. i thought it should be "either +1 or -1"
but then it also has 1^∞  form. this got me confused.

[Xiang]

I thought u will find it for n being an even no. and odd no. so should be two cases after using l'hopitol.

[Sumit]

@sinstral,
The answer will be either -1 or +1 for sure..its all depend upon what value we take for the expression (-1)^∞....

[Amit Goyal]

Ans is Limit of the sequence does not exist.
(Please read the definition of limit of a sequence.)

[Sinistral]

arey haan..

the sequence is not converging. I so got carried away. thanx a lot.
:)

[shanks]

how did you conclude that the sereis is not converging

[Mauli]

hi shanks!
put n=1,2,3 ..
and check. you get
-1/2,2/3,-3/4,4/5 ...
you can also roughly plot these points on the number line.
they do not converge to any finite limit