If `f(x)=[(8^x-4^x-2^x+1^2)/(x^2\ ),\ x >0e^xsinx+4x+k ln4,\ xlt=0` is continuous at `x=0,\ ` then find the value of `kdot`

If 'f(x)= {((1-cos4x)/(x^2)),whenx 0):} , and f is continuous at x=0, then find the value of k.

If f(x)={(cos^2x-sin^2x-1)/(sqrt(x^2+1)-1),\ \ \ x!=0 \ \ \ \ k, \ \ \ x=0 is continuous at x=0 , find kdot

Let f(x)=[((x^2+3x-1)t a n x)/(x^2+2x)\ if\ x!=0,kif\ x=0 f(x) is continuous , then find the value of kdot

If f(x)={(sin^(-1)x)/x\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuous at x=0 , write the value of kdot

If f(x)={(sin^(-1)x)/x\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuous at x=0 , write the value of kdot

If f(x)={(1-cosx)/(x^2)\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuous at x=0 , find kdot

If f(x)={(1-cosx)/(x^2)\ \ \ ,\ \ \ x!=0k\ \ \ ,\ \ \ x=0 is continuous at x=0 , find kdot

(i) Given f(x)={((1-cos4x)/(x^(2))" , "xne0),(k" , "x=0):} If f(x) is continuous at x=0, find the value of k. (ii) Given f(x)={((1-cos4x)/(8x^(2))" , "xne0),(k" , "x=0):} If f(x) is continuous at x=0, find the value of k.