" 23."vec k={[(3x^(3)-2x^(2)-1)/(x-1),x!=1,x=1],[k,x=1]

If the function f(x) ={:{((3x^3-2x^2-1)/(x-1)", "x ne 1),(" "K", " x= 1):}, is continuous at x=1,find the value of k.

If the function f(x) ={:{((3x^3-2x^2-1)/(x-1)", "x ne 1),(" "K", " x= 1):}, is continuous at x=1,find the value of k.

Q.Determinethe value of the constant k so that the function f(x)={(x^(2)-3x+2)/(x-1), if x!=1,k, if x!=1 is continuous at x=1

" If (3x^(3)-8x^(2)+10)/((x-1)^(4))=(3)/(x-1)+(1)/((x-1)^(2))-(7)/((x-1)^(3))+(k)/((x-1)^(2)) then "k=

Determine the value of the constant k so that the function f(x)={(x^(2)-3x+2)/(x-1),quad if x!=1k,quad if x=1 is continuous at x=1

Determine the constant k, so that function f (x) is continuous at the indicated points : f(x)= {((x^2-3x+2)/(x-1),if,x,ne,1),(k,if,x,=,1):} at x=1.

What is the value of k for which the following function f(x) is continuous for all x? f(x)={{:((x^(3)-3x+2)/((x-1)^(2)),"for "xne1),(k,"for "x=1):}

If (3x^(3)-2x^(2)-1)/(x^(4)+x^(2)+1)=(Ax+B)/(x^(2)+x+1)+(Cx+D)/(x^(2)+kx+1) " then "k=

If f(x) = {((x^6-1/64)/(x^3-1/8),",",x != 1/2),(k,",",x = 1/2):} is continuous at x = 1/2 , then the value of k is