The period of function `2^({x})+sinpix+3^({x/2})+cos2pix` (where `{x}` denotes the fractional part of `(x)` is 2 (b) 1 (c) 3 (d) none of these

The total number of solution of sin{x}=cos{x} (where {} denotes the fractional part) in [0,2pi] is equal to 5 (b) 6 (c) 8 (d) none of these

The period of the function |sin^3x/2|+|cos^5x/5| is

lim_(x to 0) {(1+x)^((2)/(x))} (where {.} denotes the fractional part of x) is equal to

The domain of the function f(x)=1/(sqrt({sinx}+{sin(pi+x)})) where {dot} denotes the fractional part, is (a) [0,pi] (b) (2n+1)pi/2, n in Z (c) (0,pi) (d) none of these

lim_(x->oo ){(e^x+pi^x)^(1/x)}= where {.} denotes the fractional part of x is equal to

The period of the function f(x)=(6x+7)+cospix-6x , where [dot] denotes the greatest integer function is: 3 (b) 2 pi (c) 2 (d) none of these

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

Draw the graph of y =(1)/({x}) , where {*} denotes the fractional part function.

lim x→(2^+) { x } sin( x−2 ) /( x−2)^2 = (where [.] denotes the fractional part function) a. 0 b. 2 c. 1 d. does not exist

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