`f(x) = {{:((sqrt(1+kx)-sqrt(1-kx))/(x),if -1 le x lt 0),((2x+1)/(x-1),if 0 le x le 1):}` at `x = 0`.

Find the values of k so that the function f is continuous at the indicated point f(x) = {((sqrt(1+ kx)-sqrt(1-kx))/(x)",","if " -1 le x lt 0),((2x+1)/(x-1)",","if " 0 le x lt 1):} at x= 0

If f(x) = {((sqrt(1+kx)-sqrt(1-kx))/(x), "if" -1 le x lt 0),((2x+k)/(x-1), "if" 0 le x le1):} is continuous at x = 0, then the value of k is

If f(x) = {((sqrt(1+kx)-sqrt(1-kx))/(x), "if" -1 le x lt 0),((2x+k)/(x-1), "if" 0 le x le1):} is continuous at x = 0, then the value of k 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):} is continuous in [-1, 1]. Then a equals :

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 =

Find the value of 'k', for which: f(x) = {:{(sqrt(1+kx)-sqrt(1-kx))/x, if -1lex<0),((2x+1)/(x-1), if 0lex<1):} is continuous at x=0

If f(x)={{:(sqrt(1+kx)-sqrt(1-kx)," if ", -1le x lt 0),((2x+1)/(x-1), " if ", x le x le1):} is continuous at x = 0 , then the value the of k is