If x < y ,then show that x + z < y + z

(1) If | [a+x ,a ,x ],[a-x, a ,x], [a-x, a ,-x] |=0 then x is

The value of x satisfying the equation (x-1)/(x)+(x-2)/(x)+(x-3)/(x)+...+(1)/(x)=3

If a function f(x) is given by f(x)=(x)/(1+x)+(x)/((x+1)(2x+1))+(x)/((2x+1)(3x+1))+...oo then at x=0,f(x)

If f (x) = |[a,x,x+1],[2x,x(x-1),x(x+1)],[3x(x-1),x(x-1)(x-2),x(x+1)(x-1)]| , then f (10) is equal to

If f(x)=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1)):}| then

If |(a +x,a -x,a -x),(a -x,a +x,a -x),(a -x,a -x,a +x)| = 0 , then x is equal to

If f(x)=|[x+lambda,x,x] , [x,x+lambda,x] , [x,x,x+lambda]| then f(12x)-f(x)=

If f(x) = |(x + lamda,x,x),(x,x + lamda,x),(x,x,x + lamda)|, " then " f(3x) - f(x) =