If `f(x) = {[ln x]. sng({x-1/2}) , 1 lt x le 3 and {x^2} , 3 lt x le 3.5}`; find the pointswhere the continuity of `f(x).`

If f(x)={(ln x).sgn({x-1/2});1 < x le 3 and {x^2};3 < x le 3.5. Find the pointswhere the continuity of f(x), should be checked, where [.] is greatest integer function and {.} fractional part function.

If f(x)={(ln x).sgn({x-1/2});1 < x le 3 and {x^2};3 < x le 3.5. Find the pointswhere the continuity of f(x), should be checked, where [.] is greatest integer function and {.} fractional part function.

If f(x)={(ln x).sgn({x-1/2});1 < x le 3 and {x^2};3 < x le 3.5. Find the pointswhere the continuity of f(x), should be checked, where [.] is greatest integer function and {.} fractional part function.

If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt x le 3):}, then

If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt x le 3):}, then

Let f(x)={(1+x, 0 le x le 2), (3-x, 2 lt x lt 3):} Discuss the continuity of f, f' on [0, 2].

If f(x) ={(4-3x,",",0 lt x le 2),(2x-6,",",2 lt x le 3),(x+5,",",3 lt x le 6):} , then f(x) is

If f(x) ={(4-3x,",",0 lt x le 2),(2x-6,",",2 lt x le 3),(x+5,",",3 lt x le 6):} , then f(x) is

If f(x)={:{(3", if " 0 le x le 1),(4", if " 1 lt x lt 3),(5", if " 3 le x le 10):} , then