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#1 2012-12-04 11:57:55

39643
Novice

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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

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