SOLUTION: Explain why there does not exist a polynomial p such that p(x) = 2^x for every real number x. [Hint: Consider the behavior of p(x) and 2^x for x near−∞.]
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Question 950196: Explain why there does not exist a polynomial p such that p(x) = 2^x for every real number x. [Hint: Consider the behavior of p(x) and 2^x for x near−∞.]
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
where , the graph will asymptotically approach the line as goes to , and goes to as goes to
you have -> , so
then
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