0.Im(sqrt(a+1sqrt(a^(4)+a^(2)+1)))=

Im(sqrt(a+i sqrt(a^(4)+a^(2)+1)))

lim_(y->o)(sqrt(1+sqrt(1+y^(4)))-sqrt(2))/(y^(4))= (a) (1)/(4sqrt(2)) (b) (1)/(2sqrt(2)) (c) (1)/(2sqrt(2)(1+sqrt(2))) (d) does not exist

lim_(y->oo)(sqrt(1+sqrt(1+y^(4)))-sqrt(2))/(y^(4))= (a) (1)/(4sqrt(2)) (b) (1)/(2sqrt(2)) (c) (1)/(2sqrt(2)(1+sqrt(2))) (d) does not exist

(d)/(dx)[cos^(-1)(x sqrt(x)-sqrt((1-x)(1-x^(2))))]=(1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(-1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))+(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))0 b.1/4c.-1/4d none of these

[sqrt(1+sqrt(1+sqrt(1)))]^4

The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+ . . . . .+(1)/(sqrt(n^(2)-1)+sqrt(n^(2))) equals

The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+ . . . . .+(1)/(sqrt(n^(2)-1)+sqrt(n^(2))) equals

If x=(sqrt(2a+1)+sqrt(2a-1))/(sqrt(2a+1)-sqrt(2a-1)) , prove that x^(2)-4ax+1=0

Let S=(sqrt(1))/(1+sqrt1+sqrt(2))+sqrt(2)/(1+sqrt(2)+sqrt(3))+(sqrt(3))/(1+sqrt(3)+sqrt(4))+...+(sqrt(n))/(1+sqrt(n)+(sqrtn+1))=10 Then find the value of n.