`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.

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

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

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

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

Greatest Integer Function ( Inequation ) || Fractional Part Function