Iff(x)={(x-4)/(|x-4|)+a,ifx<4 a+b,if x = 4 (x-4)/(|x-4|)+b,if x >4 is continuous at x=4find a,b`

If f(x)={(x-4)/(|x-4|)+a ,\ \ \ if\ x 4 is continuous at x=4 , find a ,\ b .

Let f(x)={(x-4)/(|x-4|)+a ,x 4 Then f(x) is continous at x=4 when

What value must be assigned to k so that the function f(x)={(x^4-256)/(x-4),x!=4 and k ,x=4 is continuous at x=4.

Let f(x)={(x-4)/(|x-4|a+b)+a ,x 0 Then, f(x) is continuous at x=4 when (a) a=0,b=0 (b) a=1,b=1 (c) a=-1,b=1 (d) a=1,b=-1

If f(x)={(x^2-16)/(x-4), if\ x!=4k\ ,if\ x=4 is continuous at x=4 , find kdot

Find the values of a and b sucht that the function f defined by f(x) = {{:((x-4)/(|x-4|)+a, if x lt 4),(a+b,if x =4),((x-4)/(|x-4|)+b, if x gt 4):} is a continous function at x = 4 .

Find the values of a and b sucht that the function f defined by fx = {{:((x-4)/(|x-4|)+a, if x lt 4),(a+b,if x =4),((x-4)/(|x-4|)+b, if x gt 4):} is a continous function at x = 4 .

If f(x)={(2^(x+2)-16)/(4^x-16),if x!=2k ,if f(x) is continuous a t x=2, find k

If f(x)={(2^(x+2)-16)/(4^x-16) , if x!=2 , k if x=2 is continuous at x=2 , find k

If f(x) = [x] – [x/4] , x ∈ R, where [x] denotes the greatest integer function, then : (1) lim f(x) (x→4-)exists but lim f(x) (x→4+) does not exist. (2) Both lim f(x) (x→4-) and lim f(x) (x→4+) exist but are not equal. (3) lim f(x) (x→4+) exists but lim f(x) (x→4-) does not exist. (4) f is continuous at x = 4.