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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... 
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#2 2012-12-03 13:23:34
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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