To find: Whether the statement “ If is a polynomial, then ” is true or false.
The statement “If is a polynomial, then ” is true.
The given statement is “I If is a polynomial, then ”.
Let consider that be a polynomial.
Let be the given polynomial of .
Here, the every power function is continuous. Hence the is the sum of power functions and continuous everywhere.
The definition of continuity state that a function is continuous at if and only if its limits as
Calculate the value .
Therefore, the statement “If is a polynomial, then ” is true.
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