If F(x) is defined in `x in (-1/3,1/3)`
f(x) = `{((1/x)log_e((1+3x)/(1-2x)),x !=0),(k,x=0):} ` find k such that f(x) is continuous

Let f(x)={{:((log(1+ax)-log(1-bx))/x, x ne 0), (k,x=0):} . Find 'k' so that f(x) is continuous at x = 0.

If the function f defined on (-(1)/(3')(1)/(3)) by f(x)={{:((1)/(x)*log((1+3x)/(1-2x)) ",",where "," x!=0), (k, where "," x=0):} is continuous at x=0 then K=

If f(x) is continuous at x=0 , where f(x)={:{(log_((1-2x))(1+2x)", for " x!=0),(k", for " x=0):} , then k=

If {:(f(x),=log_(1-3x)(1+3x),",",x != 0),(,=k, ",",x = 0):} is continuous at x = 0, then the value of k is

If {:(f(x),=log_(1-3x)(1+3x),",",x != 0),(,=k, ",",x = 0):} is continuous at x = 0, then the value of k is

If f(x)={((sin3x)/(e^(2x)-1),,,x!=0),(k-2,:,x=0):} is Continuous at x=0, then k=

If the function f(x) defined by f(x)= (log(1+3x)-"log"(1-2x))/x , x!=0 and k , x=0. Find k.

If f(x) is continuous at x=0 , where f(x)={:{((1+3x)^(1/x)", for " x != 0 ),(k", for " x =0):} , then k=

If f(x) is continuous at x=0 , where f(x){:{((1)/(1+e^(1/x))", for " x!=0),(k", for " x=0):} , then k=

If the function defined by f(x) = {((sin3x)/(2x),; x!=0), (k+1,;x=0):} is continuous at x = 0, then k is