If f is an increasing function `AA x in R` and `u=sqrt(c+1)-sqrt(c);v=sqrt(c)-sqrt(c-1);(c>1)`, then

If f(x)=x+sinx,g(x)=e^(-x),u=sqrt(x+1)-sqrt(c )v=sqrt(c )-sqrt(c-1)(cgt1) , then

If f(x) = x + sin x, g(x) = e^(-x), u = sqrt(c + 1) - sqrt(c), v = sqrt(c) - sqrt(c - 1), (c gt 1) then a)fog (u) lt fog (v) b)gof (u) lt gof (v) c)gof (u) gt gof (v) d)fog (u) lt fog (v)

If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c) v=sqrt(c) -sqrt(c-1),(c >1), then fog(u) gof(v) (d) fog(u)

If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c), v=sqrt(c) -sqrt(c-1),(c >1), then (a)fog(u) gof(v) (d) fog(u) > fog(v)

If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c) , v=sqrt(c) -sqrt(c-1),(c >1), then (a) fog(u) gof(v) (d) fog(u) > fog(v)

If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c) , v=sqrt(c) -sqrt(c-1),(c >1), then (a) fog(u) gof(v) (d) fog(u) > fog(v)

If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c) , v=sqrt(c) -sqrt(c-1),(c >1), then (a) fog(u) gof(v) (d) fog(u) > fog(v)

if int tan^(-1)sqrt(x)dx=u tan^(-1)sqrt(x)-sqrt(x)+c then u=

int (dx)/(sqrt(1+sqrt(x)))=(4)/(3)(sqrt(x)-2)sqrt(1+sqrt(x))+c

If the function f(x)=(sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x)) If the value of f((pi)/(3))=a+b sqrt(c) then a+b+c=