Properties of Continuous Functions
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1.Show that a polynomial function is continuous at every point of R.
2. Show that a rational function (a quotient of two polynomial functions) at every point where it is defined.
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Solution Summary
This solution uses the following properties of continuous functions to prove the fact.
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1. Show that a polynomial function is continuous at every point of R.
We use the following properties of continuous functions to prove the fact.
I. If f(x) and g(x) are continuous functions at a point x=a, then (f+g)(x) is continuous at x=a and also f(x).g(x) is continuous at x=a
Using this, we can see that f(x)=xn is ...
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