(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

1) f(x) = sin(1/x) for x is not 0

= 0 for x is 0

2) f(x) = x sin (1/x) for x is not 0

=0 for x = 0

2. Relevant equations

3. The attempt at a solution

i've got a hunch the answer is the second one

(i think that factor 'x' is going to minimize the total value when x is really close to 0 )

but i cant find a mathmatical way of looking at it..

any help?

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# Homework Help: Which one of these is continuous at x=0?

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