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

You are not logged in.

## #1 2013-11-15 21:37:08

slah04
Novice

Offline

### 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

## #2 2013-11-15 21:49:08

anonimnystefy
Real Member

Offline

### Re: Infinity Limit Problem - cannot solve

Use the Stolz theorem.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #3 2013-11-16 01:40:29

slah04
Novice

Offline

### Re: Infinity Limit Problem - cannot solve

Could you please elaborate..

San

## #4 2013-11-16 02:45:52

bobbym
Administrator

Online

### Re: Infinity Limit Problem - cannot solve

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## Board footer

Powered by FluxBB