@LiMiT

Find the limiting value of { (√2 + 1)n} x (-1)[(√2 + 1)n] where n →∞ {} →fractional part [.] →G.I.F.

5 Answers

262
Aditya Bhutra ·

i am getting → (-1)

7
Sigma ·

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

262
Aditya Bhutra ·

yes, accordingly it will vary between 1 and -1

1
fahadnasir nasir ·

It is diverge

71
Vivek @ Born this Way ·

It is indeed -1.

Whatever may be the case (ie.., Odd or Even), it will be -1 . [ Only if n → ∞ and n ε Natural Number ]

I had made a post about this on Aops!

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