if f(x)=`{(frac{x^3-8}{x-2},xne2),(k,x=2):}` is continous at x=2 then value of k is

f(x)={[(x^(2)-3)/(x-2),,x!=2],[k,x=2] is continuous at x=2 then value of k is (a) 8, (b) 2, (c) 6, (d) 12

If f(x)={{:((sqrt(x^(2)+5)-3)/(x+2)",",x ne-2),(k,","x=-2):} is continuous at x=-2 , then the value of k is

If f(x)={{:((sqrt(x^(2)+7)-4)/(x+3)",",xne-3),(k,","x=-3):} is continuous at x=-3 then the value of k is

If f(x){{:((sqrt(4+x)-2)/(x)",",xne0),(k,","x=0):} is continuous at x =0 , then the value of k is

If f(x)={((2^(x+2)-16)/(4^x-16),x!=2),(k, x=2):} is continuous at x=2 , find k .

If f (x)= {{:((x-e ^(x)+1-(1-cos 2x))/(x ^(2)), x ne 0),(k,x=0):} is continous at x=0 then which of the following statement is false ?

Let f(x)= {(((xsinx+2cos2x)/(2))^((1)/(x^(2))),,,,xne0),(e^(-K//2),,,,x=0):} if f(x) is continous at x=0 then the value of k is (a) 1 (b) 2 (c) 3 (d) 4

For what value of k, the function f(x) ={:{((x^2-4)/(x-2)", " x ne 2),(" "k", " x=2):}, is continuous at x =2.

For what value of k, the function f(x) ={:{((x^2-4)/(x-2)", " x ne 2),(" "k", " x=2):}, is continuous at x =2.

The value of k for which the function f(x)={(sin(5x)/(3x)+cosx, xne0),(k, x=0):} is continuous at x=0 is