Evaluate: `("lim")_(nvec1)("sin"{x})/({x})` if exists, where `{x}` is the fractional part of `xdot`

Find the period f(x)=sin x+{x}, where {x} is the fractional part of x.

lim_(x rarr1)(x sin{x})/(x-1)," where "{x}" denotes the fractional part of "x," is equal to "

The value of lim_(xto0)((tan({x}-1))sin{x})/({x}({x}-1) is where {x} denotes the fractional part function

The value of lim_(xrarr1)(xtan{x})/(x-1) is equal to (where {x} denotes the fractional part of x)

Evaluate int_(0)^(2){x} d x , where {x} denotes the fractional part of x.

Find the value of lim_(x rarr0)(ln(1+{x}))/({x}) where {x} denotes the fractional part of x .

lim_(x rarr1)({x})^((1)/(n pi x)) ,where {.} denotes the fractional part function

lim_(xto-1) (1)/(sqrt(|x|-{-x})) (where {x} denotes the fractional part of x) is equal to

Find the range of f(x)=x-{x} , where {.} is the fractional part function.