Home
Class 12
MATHS
Let f(x) ={{:( [sin pi x],0le xle 1),( ...

`Let f(x) ={{:( [sin pi x],0le xle 1),( sgn (x-(5)/(4))xx{x-(2)/(3)},1lexle 2):}`
when [.] denotes the greatest integer function and {.} represents the fractional part function ,At what points should the continuity be checked ? Hence , find the points of discontinuity .

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

f(x)={([sinpix] ,, 0lt=x<1),(sgn(x-5/4)x{x-2/3} ,, 1lt=xlt=2):} where [.] denotes the greatest integer function and {.} represents the fractional part function. At what points should the continuity be checked? Hence, find the points of discontinuity.

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

Solve 1/[x]+1/([2x])= {x}+1/3 where [.] denotes the greatest integers function and{.} denotes fractional part function.

if f(x) {{:(sgn(x-2)xx[log_(e)x],1lexle3),({x^(2)},3ltxle3.5):} where [.] dentes inteatest function ans {.} repesents fractional part function find the points where the continuity of f(x) shoukd be checked , Hence find he points of discontinuity .

f(x)=[x^(2)]-{x}^(2), where [.] and {.} denote the greatest integer function and the fractional part function , respectively , is

The function f(x) = {x} sin (pi [x]) , where [.] denotes the greatest integer function and {.} is the fraction part function , is discontinuous at

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.

If [.] denotes the greatest integer function, then f(x)=[x]+[x+(1)/(2)]

Solve the following equation (where [*] denotes greatest integer function and {*} represent fractional part function ) [x^(2)]+2[x]=3x , 0 le x le 2 .

The function f( x ) = [x] + sqrt{{ x}} , where [.] denotes the greatest Integer function and {.} denotes the fractional part function respectively, is discontinuous at