`lim_(x->0) {(1+x)^(2/x)}` (where {.} denotes the fractional part of x (a) `e^2−7` (b) `e^2−8` (c) `e^2−6` (d) none of these

lim_(x rarr0){(1+x)^((2)/(x))}( where {x} denotes the fractional part of x ) is equal to.

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

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

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

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

If f(x) = e^(x) , then lim_(xto0) (f(x))^((1)/({f(x)})) (where { } denotes the fractional part of x) is equal to -

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

The domain of definition of the function f(x)=ln{x}+sqrt(x-2{x}) is: (where { } denotes fractional part function) (A) (1,oo) (B) (0,oo) (C) (1,oo)~I^(+) (D) None of these

lim_(x rarr[a])(e^(x)-{x}-1)/({x}^(2)) Where {x} denotes the fractional part of x and [x] denotes the integral part of a.

The total number of solutions of [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions,respectively,is equal to: 2 (b) 4 (c) 6 (d) none of these