If `[x]` and `{x}` represent the integral and fractional parts of `x ` respectively, then the value of `sum_(r=1)^(2000)({x+r})/(2000)` is

If {x} and [x] represent fractional and integral part of x respectively, find the value of [x]+sum_(r=1)^(2000)({x+r})/2000

x+1/x=-1 then find the value of x^(2000)+1/(x^(2000))

If {x} and [x] represent fractional and integral part of x respectively then solve the equation x-1=(x-[x])(x-{x})

If {x} and [x] represent fractional and integral part of x, then [x]+ sum_(r=1)^(1090)({x+r})/(1090)=

Approach to solve greatest integer function of x and fractional part of x ; (i) Let [x] and {x} represent the greatest integer and fractional part of x ; respectively Solve 4{x}=x+[x]

Let f(n) = [1/2 + n/100] where [x] denote the integral part of x. Then the value of sum_(n=1)^100 f(n) is

In the questions, [x]a n d{x} represent the greatest integer function and the fractional part function, respectively. If y=3[x]+1=4[x-1]-10 , then find the value of [x+2y]dot

In the questions, [x]a n d{x} represent the greatest integer function and the fractional part function, respectively. Solve: [x]^2-5[x]+6=0.

If f(x)=(4+x)^(n),"n" epsilonN and f^(r)(0) represents the r^(th) derivative of f(x) at x=0 , then the value of sum_(r=0)^(oo)((f^(r)(0)))/(r!) is equal to

If C_(r) be the coefficients of x^(r) in (1 + x)^(n) , then the value of sum_(r=0)^(n) (r + 1)^(2) C_(r) , is