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Let P(x)=a(0)+a(1)x^(2)+a(2)x^(4)+a(3)x^...

Let `P(x)=a_(0)+a_(1)x^(2)+a_(2)x^(4)+a_(3)x^(6)+……+a_(n)x^(2n)` be a polynomial in a real variable x with `0 lt a_(0) lt a_(1) lt a_(2) lt ……… lt a_(n`. The function P(x) has :

A

neither max. nor min.

B

only on max.

C

only one max. and one mini.

D

only one minima.

Text Solution

Verified by Experts

The correct Answer is:
D
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