- #1

peripatein

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## Homework Statement

I am now asked to prove that f: [0,1]->[0,1] defined thus

f(0)=0 and f(x)=1/10

^{n}for every 1/2

^{n+1}<x<1/2

^{n}for natural n,

is integrable.

## Homework Equations

## The Attempt at a Solution

Would it suffice to show that f is continuous? I.e. that lim x->0 f(x) = f(0) = 0, since as x->0 n->infinity?