Find the value of `a` for which `f(x)={x^2,x in Q x+a ,x !in Q` is not continuous at any `xdot`

Find the values of a if f(x)=("lim")_(n rarr oo)(a x^(2n)+2)/(x^(2n)+a+1) is continuous at x=1.

Find the value of Q (8!)' x(3!) '/ (9!)

Find the value of x for which f(x) = 2 sin^(-1) sqrt(1 - x) + sin^(-1) (2 sqrt(x - x^(2))) is constant

Find the values of a if f(x)=2e^x-a e^(-x)+(2a+1)x-3 is increasing for all values of xdot

Find the values of k so that the function f is continuous at the indicated point. f(x)={{:((k cos x)/(pi -2x)," if "x ne (pi)/(2)),(3," if "x= (pi)/(2)):}" at "x=(pi)/(2) .

Find the value of a for which the function (a+2)x^3-3a x^2+9a x-1 decreases montonically for all real xdot

If f(x) = (2x + 3 sin x)/( 3x + 2 sin x), x ne 0 is continuous at x = 0 , then find f(0)

Find the values of k so that the function f is continuous at the indicated point. f(x)={{:(kx^(2)," if "x le2),(3," if "x gt 2):}" at "x= 2 .

Let f(x)={(log(1+x)^(1+x)-x)/(x^2)}dot Then find the value of f(0) so that the function f is continuous at x=0.