If `f(x)=[x]+sum_(r=1)^(2011)(x+r-[x+r])/2011`, then f(10) is equal to

if f(x) = x-[x], in R, then f^(')(1/2) is equal to

if f(x) = x-[x], in R, then f^(')(1/2) is equal to

If f(x) = sum_(r=1)^(n)a_(r)|x|^(r) , where a_(i) s are real constants, then f(x) is

If f(x) = x/(1 + |x|) for x in R then f(0) is equal to

Let f: R to R be defined by f(x) = 5^(2x)/(5^(2x) + 5) , then f(x) + f(1-x) is equal to

If the function f: R to R is defined by f(x)=x^(2)-6x-14 , then f^(-1)(2) is equal to -

If g (x) = sum_(r=0)^(200) alpha_(r) . x^(r) " and f(x)" = sum_(r=10)^(200) beta_(r) x^(r) , beta _(r) = 1 for r ge 100 and g (x) = f (1 + x) , show that the greatest coefficient in the expansion of (1 + x)^(201) " is " alpha_(100) .

If f(x)=sum_(r=1)^(x) 1/r and sum_(r=1)^(2017)f(r)=af(b)+c then

If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)) , is surjective, then A is equal to (A) R-{-1} (B) [0,oo) (C) R-[-1,0) (D) R-(-1,0)

If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)) , is surjective, then A is equal to (A) R-{-1} (B) [0,oo) (C) R-[-1,0) (D) R-(-1,0)