`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)= {(frac{x^3-8}{x-2},xne2),(k,x=2):} is continous at x=2 then 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)={(2^(x+2)-16)/(4^x-16) , if x!=2 , k if x=2 is continuous at x=2 , find k

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

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)={(2^(x+2)-16)/(4^x-16),if x!=2k ,if f(x) is continuous a t x=2, find k

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 the function f(x)=(3x^2+ax+a+3)/(x^2+x-2) is continuous at x=-2, then the value of f(-2) is

The function f(x)={((sin3x)/x ,x!=0),(k/2,x=0):} is continuous of x=0,t h e nk= (a) 3 (b) 6 (d) 9 (d) 12

If x^(140)+2x^(151)+k is divisible by x+1 , then the value of k is=? (a) 1 (b) -3 (c) 2 (d) -2