`lim_(xrarrc)f(x)` does not exist for
wher `[.]` represent greatest integer function `{.}` represent fractional part function

Prove that lim_(xto2) [x] does not exists, where [.] represents the greatest integer function.

FInd lim_(x->alpha^+) [(min (sin x, {x}))/(x-1)] where alpha is the root of the equation sinx+1 =x Here [.] represents greatest integer function and {.} represents fractional part function

[2x]-2[x]=lambda where [.] represents greatest integer function and {.} represents fractional part of a real number then

lim_(xrarr0) [(100 tan x sin x)/(x^2)] is (where [.] represents greatest integer function).

Solve : 4{x}= x+ [x] (where [*] denotes the greatest integer function and {*} denotes the fractional part function.

lim_(xtoc)f(x) does not exist when where [.] and {.} denotes greatest integer and fractional part of x

The set of all values of x satisfying {x}=x[xx] " where " [xx] represents greatest integer function {xx} represents fractional part of x

Let f(x) = [sin ^(4)x] then ( where [.] represents the greatest integer function ).

Let f(x) = [x] and [] represents the greatest integer function, then

f(x)= {cos^(-1){cotx) ,x pi/2 where [dot] represents the greatest function and {dot} represents the fractional part function. Find the jump of discontinuity.