Let `f(x)={(x-4)/(|x-4|a+b)+a ,x<0 (x-4)/(|x-4|)+b ,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`

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

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

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

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

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

If f(x)={{:( e^(x^(2)+x), x gt0),( ax+b, xle0):} is differentiable at x=0 , then (a) a=1,b=-1 (b) a=-1,b=1 (c) a=1,b=1 (d) a=-1,b=-1

If f(x)={(|x|-3 when x = 1) & g(x)={2-|x| when x = 2 . if h(x)=f(x)+g(x) is discontinuous at exactly one point, then - (a). a=-3, b=0 (b). a=-3, b=-1 (c) a=2, b=1 (d) a=0, b=1

If f(x)={(|x|-3 when x = 1) & g(x)={2-|x| when x = 2 . if h(x)=f(x)+g(x) is discontinuous at exactly one point, then - (a). a=-3, b=0 (b). a=-3, b=-1 (c) a=2, b=1 (d) a=0, b=1

If f(x)=f(x)={(sin(a+1)x+sinx)/(x), ,x<0,c \ at x=0, (sqrt(x+b x^2)-sqrt(x))/(b xsqrt(x)),xgeq0,f(x) is continuous at x=0,t h e n (a). a=-3/2,b=0,c=1/2 (b) a=-3/2,b=1,c=-1/2 (c) a=-3/2,b in R-[0],c=1/2 (d) none of these

Value of f(0) so that f(x) = (a^(x)-1)/(1-b^(x)) is continuous at x = 0 is