Show that `f(x)={(x-|x|)/(2),2` `w h e nx!=0i sd i s con t inuou sa tx=0dotw h e nx=0`

Show that f(x)={(sin3x)/(tan2x3/2,ifx=0),ifx 0i scon t inuou sa tx=0

If f(x)={(x-4)/(|x-4|a+b ,ifx=4)+a ,ifx 4i scon t inuou sa tx=4,fin da , b

If f(x)={(sin3x)/x,w h e nx!=0 1,w h e nx=0dot Find whether f(x) is continuous at x=0

Show that f(x)={(x-|x|)/2,\ \ \ w h e n\ x!=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \2,\ \ \ w h e n\ x=0 is discontinuous at x=0 .

Leg f(x+y)=f(x)+f(y)fora l lx , y in R , If f(x)i scon t inuou sa tx=0,s howt h a tf(x) is continuous at all xdot

Show that f(x)={(|x-a|)/(x-a),\ \ \ w h e n\ x!=a \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \,\ \ \ w h e n\ x=a is discontinuous at x=a for any value of f(a)

Find the value of f(0) so that the function. f(x)=(sqrt(1+x)-1+x3)/xb e com e scon t inuou sa tx=0

Find the value of f(0) so that the function. f(x)=(sqrt(1+x)-1+x3)/xb e com e scon t inuou sa tx=0

Let f(x)={(1-cosx)/(x^2),\ \ \ w h e n\ x!=0 ; 1,\ \ \ \ w h e n\ x=0 . Show that f(x) is discontinuous at x=0 .

If f(x)=(sin3x)/x,w h e nx!=0, f(x)= 1,w h e n x=0 Find whether f(x) is continuous at x=0