If `x` is a positive number, then which of the following fractions has the greatest value? `x/x` (b) `x/(x+1)` (c) `(x+1)/x` (d) `(x+2)/(x+3)`

If 0 < x < 1 , which of the following is greatest ? x (b) x^2 (c) 1/x (d) 1/(x^2)

If x,y,z be three positive numbers such that xyz^(2) has the greatest value (1)/(64) , then the value of (1)/(x)+(1)/(y)+(1)/(z) is

If x,y,z be three positive numbers such that xyz^(2) has the greatest value (1)/(64) , then the value of (1)/(x)+(1)/(y)+(1)/(z) is

Assuming that x is a positive real number and a ,\ b ,\ c are rational numbers, show that: ((x^a)/(x^b))^(1/(a b))\ ((x^b)/(x^c))^(1/(b c))\ \ ((x^c)/(x^a))^(1/(a c))=1

If x = sqrt7 + sqrt6 , then find the simpliest value of (a) x - (1)/(x) , (b) x + (1)/(x) , (c) x^(2) + (1)/(x^(2)) , (d) x^(3) + (1)/(x^(3))

Assuming that x is a positive real number and a,b,c are rational numbers,show that: ((x^(a))/(x^(b)))^((1)/(ab))((x^(b))/(x^(c)))^((1)/(bc))((x^(c))/(x^(a)))^((1)/(ac))=1

Which of the following is/are not functions ([.]) and {.} denote the greatest integer and fractional part functions, respectively? (a) 1/(1n(1-|x|)) (b) (x !)/({x}) (c) x !{x} (d) (1n(x-1))/(sqrt((1-x^2)))

Which of the following is/are not functions ([.]) and {.} denote the greatest integer and fractional part functions, respectively? (a) 1/(1n(1-|x|)) (b) (x !)/({x}) (c)x !{x} (d) (1n(x-1))/(sqrt((1-x^2)))

Which of the following is/are not functions ([.]) and {.} denote the greatest integer and fractional part functions, respectively? (a) 1/(1n(1-|x|)) (b) (x !)/({x}) (c) x !{x} (d) (1n(x-1))/(sqrt((1-x^2)))