Determining taylor remainder theorem

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Show that if the roots of the polynomial p are all real, then the roots of p' are all real. If, in addition, the roots of p are all simple, then the roots of p' are all simple.

If f(x)=e^x , show that the remainder term in Taylorâ??s Theorem converges to zero as n--> infinity.

Reference no: EM13118371

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