Quote:
Originally Posted by InglewoodJack
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?

lol
Basically
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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