The Problem: Let S = (0,1)

Prove for each > 0 there exist an x S such that x < .

Solution:

For every > 0, 0 < <

Consider and x =

then

x <

<

1 <

Thus

> 0 and = 1 > x =

Therefore x <

Q.E.D

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- Oct 9th 2013, 05:04 PMMathlvTest
The Problem: Let S = (0,1)

Prove for each > 0 there exist an x S such that x < .

Solution:

For every > 0, 0 < <

Consider and x =

then

x <

<

1 <

Thus

> 0 and = 1 > x =

Therefore x <

Q.E.D - Oct 9th 2013, 06:47 PMSlipEternalRe: Test
See my post in the other forum.