Why is f(x)=sqrtx continuous?

vroos5p 2022-08-12 Answered
Why is f ( x ) = x continuous?
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Answers (1)

Porter Mata
Answered 2022-08-13 Author has 18 answers
For every number a in ( 0 , ) , we have lim x a x = a . That is the definition of continuous at a.
At 0, we have lim x 0 + x = 0 which is the definition of continuous from the right at 0.
So x is continuous on [ 0 , ) .
lim x a x = a can be proven using the definition of limit.

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