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If each ai > 0, then the shortest dista...

If each `a_i > 0`, then the shortest distance between the points `(0,-3)` and the curve `y=1+a_1x^2+a_2 x^4+.......+a_n x^(2n)` is

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If a_1+a_2+a_3+......+a_n=1 AA a_i > 0, i=1,2,3,......,n , then find the maximum value of a_1 a_2 a_3 a_4 a_5......a_n .

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If (1-px)^-1/((1-qx))=a_0+a_1x+a_2x^2+a_3x^3+....... then a_n=