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[" In of the infinite series "cot^(-1)((...

[" In of the infinite series "cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+cot^(-1)((39)/(4))+cot^(1)((67)/(4))+......" is "],[[-cot^(-1)(3)," (b) "(pi)/(4)-tan^(-1)(3)," (c) "(pi)/(4)+cot^(-1)(3)," (d) "(pi)/(4)+tan^(2)(3)]]

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The sum of the infinite series cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+cot^(-1)((39)/(4))....oo

The sum of the infinite series cot^(-1)(7/4)+cot^(-1)((19)/4) +cot^(-1)((39)/4)....oo

The sum of cot^(-1)((7)/(4))+cot^(-1)((19)/(4))+cot^(-1)((39)/(4))+cot^(-1)((67)/(4))..... oo is equal to :

cot((pi)/(4)-2cot^(-1)3)

cot ^(-1)((1)/(5))+cot ^(-1)((1)/(3))-tan ^(-1)((7)/(4))=

cot((pi)/4-2cot^(-1)3)=

The sum of cot^(-1)(3/4)+cot^(-1)(7/4)+cot^(-1)(19/4)+ cot^(-1)(39/4)......oo

cot(pi/4-2Cot^(-1)3)=

cot ^(-1) ""(1)/(2) -(1)/(2) cot^(-1)"" (4)/(3) =(pi)/(4)