Amy P.

asked • 04/24/22

Determine if the power series h(x^2) has any points of inflection. Justify your answer.

The function h is defined by the power series h of x is equal to x plus the quantity x squared over 3 end quantity plus the quantity x cubed over 5 end quantity plus x to the fourth power over 7 end quantity plus the quantity x to the fifth power over 9 end quantity plus dot dot dot equals the summation from n equals 0 to infinity of the quantity x to the power of n plus 1 end quantity over the quantity 2 times n plus 1 end quantity period Determine if the power series h(x2) has any points of inflection. Justify your answer.

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