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

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 93,801

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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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