Hello,

1)lim x goes 1 sgrt(3-2sin(pix/2)=1 prove that epsilon delta.

2)lim x goes pi/4 (sinx+cosx)=sgrt(2) prove that epsilon delta

3)lim x goes3 ((x^2)-9)[[3x]]=0 prove that epsilon delta.

thank you..

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- Dec 31st 2011, 11:10 AMvaveylaLimit epsilon -delta
Hello,

1)lim x goes 1 sgrt(3-2sin(pix/2)=1 prove that epsilon delta.

2)lim x goes pi/4 (sinx+cosx)=sgrt(2) prove that epsilon delta

3)lim x goes3 ((x^2)-9)[[3x]]=0 prove that epsilon delta.

thank you.. - Dec 31st 2011, 11:36 AMHallsofIvyRe: Limit epsilon -delta
"Prove that epsilon delta"?? What does that mean? In any case, please show what you have tried. Do you know the "epsilon-delta"

**definition**of "limit"? - Dec 31st 2011, 06:17 PMProve ItRe: Limit epsilon -delta
Assuming you mean, for example, to prove that using an argument...

You should know that if then .

So in this case, you need to show , or if you like, to show

This particular proof requires some knowledge of the Mean Value Theorem, in other words, that for some

Here our and , so by the Mean Value Theorem

Therefore we should choose .