Solve `{x + 1}- x^2+ 2x gt 0`( where {.} denotes fractional part function)

Solve : x^(2) = {x} , where {x} represents the fractional part function.

Solve : x^(2) = {x} , where {x} represents the fractional part function.

Solve : x^(2) = {x} , where {x} represents the fractional part function.

Solve : x^(2) = {x} , where {x} represents the fractional part function.

The domain of the function f(x)=(1)/(sqrt({x}))-ln(x-2{x}) is (where {.} denotes the fractional part function)

undersetlim_(Xrarr2^(+)) {x}(sin(x-2))/((x-2)^(2))= (where {.} denotes the fractional part function)

undersetlim_(Xrarr2^(+)) {x}(sin(x-2))/((x-2)^(2))= (where {.} denotes the fractional part function)

underset(xrarr2^(+))(lim){x}(sin(x-2))/((x-2)^(2)) = (where {.} denotes the fractional part function)

If 2sin^(-1)x+{cos^(-1)x} gt (pi)/(2)+{sin^(-1)x} , then x in : (where {*} denotes fractional part function)

If 2sin^(-1)x+{cos^(-1)x} gt (pi)/(2)+{sin^(-1)x} , then x in : (where {*} denotes fractional part function)