Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#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

Offline

#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.

Offline

Board footer

Powered by FluxBB