[" If "f(x)={[(sqrt(4+ax)-sqrt(4-ax))/(x),,-1<=x<0],[(3x+2)/(x-8),0<=x<=1]" is "],[" continuous in "[-1,1]," then the value of a is "]

Let f(x)={{:((sqrt(1+ax)-sqrt(1-ax))/x ,","-1 le x lt 0),((2x+1)/(x-2), "," 0 le x le 1):} The value of a so f is continuous on [-1,1] is

If f (x) = {{:((sqrt(1 + ax )- sqrt(1- ax ))/(x)"," -1 le x lt 0), ((x ^(2) +2)/(x-2)"," 0 le x le 1):} continuous on [-1,1], then a =

y=sin^(-1)[sqrt(x-ax)-sqrt(a-ax)]

Evaluate : underset(xrarr0)"lim"(sqrt(1+ax)-sqrt(1-ax))/(x)

The value of f (0), so that function f(x) = (sqrt(a^2-ax+x^2)-sqrt(a^2+ax+x^2))/(sqrt(a+x) -sqrt(a-x) becomes continuous for all x, is given by

Evaluate the following limits : lim_( x to 0 ) (sqrt(1+ax) - sqrt(1-ax))/x

int(sqrt(a)-sqrt(x))/(1-sqrt(ax))dx

If f(x)=sqrt(ax)+(a^2)/(sqrt(ax)) , then f^ (a)=

If f(x)=sqrt(ax)+(a^2)/(sqrt(ax)) , then f^ (a)=