`f(x)={((Cos^-1(1-{x^2})*sin^-1(1-{x}))/(({x}(1-{x})(1+{x}))},,xne0),(alpha,,x=0):}; xne0` .Find `alpha` if `f(x) is continuous at x=0

f(x)={((2-Sin(1/x))absx,,xne0),(0,,x=0):}

If f(x)={{:((5|x|+4tanx)/(x),xne0),(k,x=0):} , then f(x) is continuous at x = 0 for

If f(x)={{:((e^((1+(1)/(x)))-a)/(e^((1)/(x))+1),":",xne0),(b,":",x=0):} (where a and b are arbitrary constants) is continuous at x = 0, then the value of a^(2) is equal to (use e = 2.7)