[" If "f(x)={[(sqrt(1+Kx)-sqrt(1-Kx))/(x)," If "-1<=x<0],[2x^(2)+3x-2," If "0<=x in1]],[" is continuous at "x=0" then "K=]

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

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<=x<0 and 2x^(2)+3x-2f or 0<=x<=1 is continuous at x-0 then k