`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

Solve {x+1}-x^(2)+2x>0( where {.} denotes fractional part function)

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

undersetlim_(Xrarr2^(+)) {x}(sin(x-2))/((x-2)^(2))= (where {.} denotes the fractional part function)

undersetlim_(Xrarr2^(+)) {x}(sin(x-2))/((x-2)^(2))= (where {.} denotes the fractional part function)

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

(lim)_(X-> (-7)([x]^2+15[x]+56)/("sin"(x+7)"sin"(x+8))= (where [.] denotes the greatest integer function) a. is 0 b. is 1 c. is -1 d. does not exist

(lim)_(xvec-7)([x]^2+15[x]+56)/("sin"(x+7)"sin"(x+8))= (where [.] denotes the greatest integer function) a. is 0 b. is 1 c. is -1 d. does not exist

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->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

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