If `f(x){(1-sin^2x)/(3cos^2x),xpi/2t h e nf(x)` is continuous at `x=pi/2,if` `a=1/3,b=2` (b) `a=1/3,=8/3` `a=2/3,b=8/3` (d0 none of these

{(x){(1-sin^(2)x)/(3cos^(2)x),x (pi)/(2) then f(x) is continuous at x=(pi)/(2), if (a)a=(1)/(3),b=2 (b) a=(1)/(3),=(8)/(3)(c)a=(2)/(3),b=(8)/(3)(d) none of these

Let f(x)={(1-s in^3x)/(3cos^2x) , if x pi/2 . If f(x) is continuous at x=pi/2 , find a and b .

f(x)={((1-sin^3x)/(3cos^2x), if x pi/2)) is continuous at x=pi/2 then (p,q) is: (A) (4,1/2) (B) (-1/2,4) (C) (4,-1/2) (D) (1/2,4)

f(x)=1+2sin x+3cos^(2)x,0<=x<=(2 pi)/(3)

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

Let f(x)={1/(|x|)for|x|geq1a x^2+bfor|x|<1iff(x) is continuous and differentiable at any point, then a=1/2,b=-3/2 (b) a=-1/2,b=3/2 a=1, b=-1 (d) none of these

[" 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 "]]

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

[" 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 "]]

Let f(x)={(1/(|x|), for |x| ge 1),(ax^2+b,for |x| < 1)) . If f(x) is continuous and differentiable at any point, then (A) a=1/2, b=-3/2 (B) a=-1/2, b=3/2 (C) a=1,b=-1 (D) none of these