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

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

lim_(x->-1)1/(sqrt(|x|-{-x}))(w h e r e{x} denotes the fractional part of (x) ) is equal to (a)does not exist (b) 1 (c) oo (d) 1/2

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

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

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

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

If f^(prime)(x)=|x|-{x}, where {x} denotes the fractional part of x , then f(x) is decreasing in (-1/2,0) (b) (-1/2,2) (-1/2,2) (d) (1/2,oo)

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

Find the domain of f(x) = sqrt (|x|-{x}) (where {*} denots the fractional part of x).

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