Find the sum of infinite terms of the `G.P a+ ar+ar^2+.....+oo,` where a is the value of x for which the function `7+2x In 25-5^(x-1)-5^(2-x)` has the greatest value and ` r=lim_(x->0)(int_0^x 3t^2dt)/((x^3+a x^2(pi+x))`

The sum of infinite terms of the GP a+ar+ar^(2).........+......+oo, where a is the value of x for which the function 7+2xln25-5^(x-1)-5^(2-x) has the greatest value and r=lim_(x rarr0)int_(0)^(x)(t^(2)dt)/(x^(2)tan(pi+x)) is equal to

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