" 13."f(x)={[(sqrt(1+kx)-sqrt(1-kx))/(x),," if "-1<=x<0],[(2x+1)/(x-1),," if "0<=x<=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

Find the value of k for which f(x)={{:((sqrt(1+kx)-sqrt(1-kx))/(x)", if "-1lexlt0),(" "(2x+1)/(x-1)", if "0lexlt1):} is continuous at x = 0

If f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",","for " -1 lex lt 0),(2x^(2)+3x-2,",","for " 0 le x le1):} is continuous at x=0 then find k

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

If f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",","for" -1 lex lt 0),(2x^(2)+3x-2,",","for" 0 le x le1):} is continuous at x=0 then find k