If `x in[2,3)` ,then {x} equals, where {.} denotes fractional part function.

If lim _(x to c ^(-)) {ln x} and lim _(xto c ^(+)) {ln x} exist finitely but they are not equal (where {.} denotes fractional part function), then:

If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional part function and [.] denotes greatest integer function and sgn(x) is a signum function)

If lim_(x rarr oo){In x} and lim_(x rarr oo){ln x} exists finitely but they are not equal (where {:} denotes fractional part function),then: :

Evaluate int_(-3)^(5) e^({x})dx , where {.} denotes the fractional part functions.

Solve {x+1}-x^(2)+2x>0( 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)

The sum of all the values of x which satisfy the equation 7{x}=2x+[x], where {.} denotes fractional part function and[..denotes greatest integer function

The value of the integral int_(-4)^(4)e^(|x|){x}dx is equal to (where {.} denotes the fractional part function)

The area bounded by the curve y={x} with the x-axis from x=pi to x=3.8 is ((pi)/(2)-a)(b-pi) sq. units, then the value of b-a is equal to (where {.} denotes the fractional part function)

Let f(x)=2x-{(pi)/(n)} and g(x)=cos x where {.} denotes fractional part function, then period of gof (x) is -