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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: 87,249

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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