If `f(x)=sgn(2sinx+a)` is continuous for all `x ,` then find the possible values of `adot`

If x^(3)=9x , then find all possible values of x :-

Let f(x)=lim_(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is continuous for all x in R then find the values of a and b.

Show that f(x)=sin x is continuous for all values of x .

If f(x)=(sin 2x+A sinx+B cosx)/(x^(3)) is continuous at x = 0, then the values of A, B and f(0) are

If f(x)=[x+1,\ xlt=1 ,3 -a x^2,\ x >1 is continuous at x=1 then find the value of adot

Show that f(x)=cos x is continuous for all values of x.

If the function f(x)={{:(sinx,xne0),(k,x=0):} is continuous at x = 0 than find the value of k?

If the function f(x)=(x^(2)-(A+2)x+A)/(x-2), for x!=2 and f(2)=2 is continuous at x=2, then find the value of A.

Find all the possible values of f(x) =(1-x^2)/(x^2+3)