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#1 2012-12-04 11:57:55

39643
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Real Analysis Help!

Show that
f(x)= x/1+e^(1/x), x doesn't equal 0
f(0)=0

defines a continuous function on R. Is f(x) differentiable?

I have no idea where to even begin. My teacher didn't even teach us this in class before assigning it... hmm

#2 2012-12-04 12:23:34

bobbym
Administrator

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Re: Real Analysis Help!

Hi;

You can get the first part

f(0)=0

by taking the limit.


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.

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