Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2013-11-14 22:37:08

slah04
Member
Registered: 2013-11-14
Posts: 3

Infinity Limit Problem - cannot solve

Hi,


i am not able to solve this problem

Lim      (1^99 + 2^99 + 3^99+......+n^99) / n^100
n -> ∞             

The answer given is  1 / 100

Please help

Offline

#2 2013-11-14 22:49:08

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,606

Re: Infinity Limit Problem - cannot solve

Use the Stolz theorem.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

Offline

#3 2013-11-15 02:40:29

slah04
Member
Registered: 2013-11-14
Posts: 3

Re: Infinity Limit Problem - cannot solve

Could you please elaborate..

San

Offline

#4 2013-11-15 03:45:52

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,882

Re: Infinity Limit Problem - cannot solve


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

Board footer

Powered by FluxBB