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cosec^(-1)sqrt(x)

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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

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

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_(k)^(i) (sec^(-1)sqrt(|x|) - cosec^(-1)sqrt(|x|)/(pi a)) is finite where |x|>=1 and a>0 then range of values of a is

The value of cosec^(-1)sqrt(5)+cosec^(-1)sqrt(65)+cosec^(-1)sqrt((325))+….. infty=(kpi)/4 then k =