" (v) "-(1)/(4),(1)/(4)

In the structure of diamond, carbon atoms appear at a. 0, 0, 0 , and (1)/(2), (1)/(2), (1)/(2) b. (1)/(4), (1)/(4), (1)/4 , and (1)/(2), (1)/(2), (1)/(2) c. 0, 0, 0 , and (1)/(4), (1)/(4), (1)/(4) d. 0, 0, 0 , and (3)/(4), (3)/(4), (3)/(4)

For the curve sqrtx + sqrty=1, (dy)/(dx) " at " ((1)/(4), (1)/(4)) is ……….

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

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

y = 2+((1)/(4+ (1)/(4+ (1)/(4+((1)/(4)+oo)))))

4(4)/(5)-:{2(1)/(5)-(1)/(2)(1(1)/(4)-(1)/(4)-(1)/(5))}

For a real number x,[x] denotes the integral part of x. The value of [(1)/(4)]+[(1)/(4)+(1)/(00)]+[(1)/(4)+(2)/(100)]+[(1)/(4)+(3)/(100)]+.........+[(1)/(4)+(99)/(100)]=

The sum of the infinite series (1)/(2) ((1)/(3) + (1)/(4)) - (1)/(4)((1)/(3^(2)) + (1)/(4^(2))) + (1)/(6) ((1)/(3^(3)) + (1)/(4^(3))) - ...is equal to