The value of `5-(2(1)/(2)-(3)/(4))+(3(1)/(2)-1(1)/(4))`

The sum of the series 1 + (1)/(1!) ((1)/(4)) + (1.3)/(2!) ((1)/(4))^(2) + (1.3.5)/(3!) ((1)/(4))^(3)+ ... to infty , is

1.What is the value of tan[(1)/(2)cos^(-1)((3)/(5))]+tan[(1)/(2)cos^(-1)((4)/(5))] ?

Find the values of :- (1) (8)^(1//3) (2) (64)^(1//2) (3) 4^(5//2) (4) (36)^(3//2) (5) (27)^(2//3)

Find the value: 2(4)/(5)div(-2(1)/(3))

If a^(2)-4a+1=4 , then the value of (a^(3)-a^(2)+a-1)/(a^(2)-1)(a^(2)ne1)

The value of sin\ (1/2cot^(-1)(-3/4))+cos(1/2cot^(-1)(-3/4)) is/are equal to-

3log 2 +(1)/(4) -(1)/(2)((1)/(4))^(2)+(1)/(3)((1)/(4))^(3)-….. =

If x=(1)/(1^(2))+(1)/(3^(2))+(1)/(5^(2))+.... , y=(1)/(1^(2))+(3)/(2^(2))+(1)/(3^(2))+(3)/(4^(2))+.... and z=(1)/(1^(2))-(1)/(2^(2))+(1)/(3^(2))-(1)/(4^(2))+... then

If ((3(1)/(4) )^(4) -(4( 1)/(3))^(4))/( (3,(1)/(4) )^(2) -(4,(1)/(3))^(2) )= ((13a)/(12))^(2) , find a.

The sum of the series 1 + (1)/(3^(2)) + (1 *4)/(1*2) (1)/(3^(4))+( 1 * 4 * 7)/(1 *2*3)(1)/(3^(6)) + ..., is (a) ((3)/(2))^((1)/(3)) (b) ((5)/(4))^((1)/(3)) (c) ((3)/(2))^((1)/(6)) (d) None of these