" 4."f(x)={[(sqrt(1+x)-sqrt(1-x))/(x),x!=0],[1quad ,quad x=0]

sqrt(4-sqrt(1-x))-sqrt(2-x)>0

Discuss the continuity of f(x) at x = 0 if : f(x)={{:((sqrt(1+x)-sqrt(1-x))/(sinx)", if "xne0),(1" , if "x=0):} .

If f(x)=sqrt(1-sqrt(1-x^(2))) then at x=0

Discuss the continuity of f(x) = 0 at x = 0 if f(x) = {{:((sqrt(1 + 4x)- sqrt(1 - 4x))/(sin x)"," ,x != 0),(4, 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

If function f(x)=(sqrt(1+x)-3sqrt(1+x))/(x) continuous function at x=0 then f(0) is equal to

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 + 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 =