I need help with this proof. I have to use the definition of continuity to prove that the function f defined by f(x)=sqrt x is continuous at every nonnegative real number.
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I'll leave it to you to prove that it's continuous at 0 (it's quite easy).
Suppose x is non-zero and let be given. Then, we seek such that
Use the fact that and the assumption that x is nonzero and you should find the desired quite easily.
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