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Show x^2 is continuous, on all reals, using a delta/epsilon argument.

Let E>0. I want to find a D s.t. whenever d(x,y)<D d(f(x),f(y))<E.

WLOG let x>y

|x^2-y^2|=x^2-y^2=(x-y)(x+y)<D(x+y)

I am trying to bound x+y, but can't figure out how.

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# Homework Help: Show x^2 is continuous.

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