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

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

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

The matrix A={:[((1)/(sqrt(2)),(1)/(sqrt(2))),((-1)/(sqrt(2)),(-1)/(sqrt(2)))]:} is

The matrix A={:[((1)/(sqrt(2)),(1)/(sqrt(2))),((-1)/(sqrt(2)),(-1)/(sqrt(2)))]:} is

(2+sqrt(2)+(1)/(2+sqrt(2))+(1)/(sqrt(2)-2)) simplifies to 2-sqrt(2)(b)2(c)2+sqrt(2)(d)2sqrt(2)

Sum of the first n terms of an A.P. having positive terms is given by S_n=(1+2T_n)(1-T_n) (where T_n is the nth term of the series). The value of T_2^2 is (A) (sqrt(2)+1)/(2sqrt(2)) (B) (sqrt(2)-1)/(2sqrt(2)) (C) 1/(2sqrt(2)) (D) none of these

Sum of the first n terms of an A.P. having positive terms is given by S_n=(1+2T_n)(1-T_n) (where T_n is the nth term of the series). The value of T_2^2 is (A) (sqrt(2)+1)/(2sqrt(2)) (B) (sqrt(2)-1)/(2sqrt(2)) (C) 1/(2sqrt(2)) (D) none of these

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

"2+sqrt(2)+(1)/(sqrt(2)+2)+(1)/(sqrt(2)-2)=?