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" (ii) "cosec^(-1)sqrt((x+a)/(x))...

" (ii) "cosec^(-1)sqrt((x+a)/(x))

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Number of values of x satisfying simultaneously sin^(-1) x = 2 tan^(-1) x " and " tan^(-1) sqrt(x(x-1)) + cosec^(-1) sqrt(1 + x - x^(2)) = pi/2 , is

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If the sum of the series sum_(n=1)^(oo)((sec^(-1)sqrt(|x|)+cosec^(-1)sqrt(|x|))/(pi a))^n is finite where |x|>=1 and a>0 then range of values of a

If the sum of the series sum_(n=1)^(oo)((sec^(-1)sqrt(|x|)+cosec^(-1)sqrt(|x|))/(pi a))^n is finite where |x|>=1 and a>0 then range of values of a

If the sum of the series sum_(n=1)^(oo)((sec^(-1)sqrt(|x|)+cosec^(-1)sqrt(|x|))/(pi a))^n is finite where |x|>=1 and a>0 then range of values of a

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