If `f(x)=(acos x-cos b x)/(x^2),x!=0a n df(0)=4` is continous at `x=0,` then the ordered pair `(a ,b)` is a.`(+-1,3)` b. `(1,+-3)` c. `(-1,-3)` d. `(-1,3)`

If f(x)={(1-cos(1-(cos x)/(2)))/(2^(m)x^(n))1x=0,x!=0 and f(0)=1 is continuous at x=0 then the value of m+n is a.2 b.3c.-3 d.7

If f(x)=(1-cos2x)/(x^(2)) , x!=0 and f(x) is continuous at x=0 ,then f(0)= (a) 1 (b) 2 (c) 3 (d) None of these

If f(x)={(log_(1-3x)(1+3x), x!=0),(=k ,x=0)) is continuous at x=0, then value of k equals (A) -1 (B) 1 (C) 2 (D) -2

If f(x)={(sin(2x^2)/a+cos((3x)/b))^a b//x^2,x!=0e^3, x=0 is continuous at x=0AAb in R then minimum value of a is -1//8 b. -1//4 c. -1//2 d. 0

[" 14.If "f(x)=(1*cos2x)/(x^(2))quad :x!=0" and "f(x)" is continuous at "x=0" ,then "f(0)=?],[[" (a) "1," (b) "2," (c) "3," (d) None of these "]]

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

[" 14.If "f(x)=(1-cos2x)/(x^(2))quad " (b) "x!=0" and "f(x)" is continuous at "x=0" ,then "f(0)=?],[[" (a) "1," (b) "2," (c) "3," (d) None of these "]]

Let f(x)={{:(x^(2)-ax+1",", x lt 0),(b(1-x)^(3)",", x ge0):} . If is a differentiable function, then the ordered pair (a, b) is

If f (x)= [{:(e ^(x-1),,, 0 le x le 1),( x+1-{x},', 1 lt x lt 3 ):}and g (x) =x ^(2) -ax +b such that f (x)g (x) is continous [0,3] then the ordered pair (a,b) is (where {.} denotes fractional part function):