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04-26-2012, 01:22 PM
7th Player
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Originally Posted by InglewoodJack View Post
Quick Calculus question:
I have a question that says:
Explain why F(x) = (1 if x =o, lxl/x if x=/= 0)

I have to explain why F(x) is not continuous at 0, but [F(x)]^2 is continuous at zero.

I'm bad at problems like this. Help?


The limit of F(X) when x-->0- <> limit of F(X) when x-->0+
-1 <> 1

but F(X)^2 = G(X) becomes

G(X) = (1 if x= 0 , x^2/X^2 = 1 when X<>0) so basically 1 across all values of x therefore continuous.

Hope this helps

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