## is this a valid proof?

I need to prove that the

limit of as x goes to c, f(x) = L iff limit as x goes to c |f(x) - L| = 0.

I"m still new to this limit concept, but here is the only thing I can think of.

So I break it down into 2 parts since it is an IFF problem. Prove ---> and then prove <----

I mean, can't I Just say that if the limit as x goes to c of |f(x) - L|= 0, then f(x) = L(because, if f(x) is not equal to L, then it wouldn't equal 0...like, a - a = 0, but b - a is not equal 0).. So I can put L to the other side, and proof done. And same the other way.

Is this a valid proof?

or is there more to it?
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 really speaking i am confused by what u are trying here .... What i interpret here is that u are trying to prove the definition of Limit? http://mathworld.wolfram.com/Limit.html -- AI

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