Home
Class 12
MATHS
if f(x) {{:(sgn(x-2)xx[log(e)x],1lexle3)...

`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 .

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

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 .

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.

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

f(x)=log_(5)(cos^(-1)sqrt(x^(2)+5x+6)+sec^(-1)[{x}+1]([.] denotes greatest integer function and {.} denotes fractional part function. Find the domain of f(x) :

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

Check the points where the constant function f(x) = k is continuous.

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

Given the function f(x)=1/(x+2) . Find the points of discontinuity of the function f(f(x))

Given the function f(x)=1/(x+2) . Find the points of discontinuity of the function f(f(x))

Given the function f(x)=1/(x+2) . Find the points of discontinuity of the function f(f(x))