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The sum of infinite terms of the GP a+ar...

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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