3.) Examine the continuity and differentiability of the function f (x) in (0, 3) where `f(x)= (|2x-3|)[x]; 0<=x<=2` ` x^2/2; 2

3. Examine the continuity and differentiability of the function f (x) in (0, 3) where f(x) = { | 2x - 3| [x] ; 0 <=x<=2} and f(x) = { x^2/2 ; 2

Examine the continuity and differentiability of the function f(x)=|sinx|atx=0 .

Examine the continuity and differentiability of the function f(x)=3x+|x-1|"at "x=1

Given f(x)={x^(2)-2x+3 for x 1 Examine the continuity and differentiability of the function f(x) at x=1

Examine the continuity of the function f(x) at x=0 for f(x)=x/(2|x|) where x!=0

Examine the continuity of the function f(x)= 2x + 3 " at " x=1

Examine for continuity and differentiability the points x=1 and x=2, the function f defined by f(x)=[{:(X[X],",",0leX where[X]=greatest integer less than or equal to x.

Examine the differentiability of the function f(x) = {:{(x[x], if 0 lex<2),((x-1)x,if2lex<3):} at x =2

Examine the continuity of function f(x)=5x-3 at x=-3

Examine the continuity of the function f(x) = {:{(3x-2,xle0),(x+1,x>0):} at x = 0