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#1 2012-12-03 12:57:55

39643
Member
Registered: 2012-12-03
Posts: 1

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

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#2 2012-12-03 13:23:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,605

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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