`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_(yto0) (sqrt(1+sqrt(1+y^4))-sqrt2)/y^4

The value of sin(1/4sin^(-1)((sqrt(63))/8)) is (a) 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

1/(sqrt(9)-\ sqrt(8)) is equal to: (a) 3+2sqrt(2) (b) 1/(3+2sqrt(2)) (c) 3-2sqrt(2) (d) 3/2-\ sqrt(2)

The value of ("lim")_(xvec2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1/(8sqrt(3)) (b) 1/(4sqrt(3)) (c) 0 (d) none of these

Sum the series to infinity : sqrt(2)- (1)/(sqrt(2))+(1)/(2(sqrt(2)))-(1)/(4sqrt(2))+ ....

2. "(sqrt(8))^((1)/(3))="? (a) "2," (b) "4" (c) "sqrt(2)," (d) "2sqrt(2)"

Which term of the G.P.: sqrt(2),1/(sqrt(2)),1/(2sqrt(2)),1/(4sqrt(2)), i s1/(512sqrt(2))?

(dy)/(dx)=(sqrt(x^(2)-1))/(sqrt(y^(2)-1))

A(1/(sqrt(2)),1/(sqrt(2))) is a point on the circle x^2+y^2=1 and B is another point on the circle such that are length A B=pi/2 units. Then, the coordinates of B can be (a) (1/(sqrt(2)),-1/sqrt(2)) (b) (-1/(sqrt(2)),1/sqrt(2)) (c) (-1/(sqrt(2)),-1/(sqrt(2))) (d) none of these

(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))-(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))+(1)/(sqrt(2)+1)-(1)/(sqrt(2)-1)