@LiMiT

Find the limiting value of { (âˆš2 + 1)ⁿ} x (-1)^{[(âˆš2 + 1)ⁿ]} where n â†’âˆž {} â†’fractional part [.] â†’G.I.F.

5 Answers

262

Aditya Bhutra ·2012-02-01 23:12:14

i am getting â†’ (-1)

I THINK there will be 2 cases, n may be odd or even..

262

Aditya Bhutra ·2012-02-02 03:12:45

yes, accordingly it will vary between 1 and -1

It is diverge

It is indeed -1.

Whatever may be the case (ie.., Odd or Even), it will be -1 . [ Only if n â†’ âˆž and n Îµ Natural Number ]

I had made a post about this on Aops!

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