f(x)={[(1-cos4x)/(8x^(2))," when "x!=0quad " is continuous at "x=0],[k," when "x=0]

Find the values of k for which f(x)={(1-cos4x)/(8x^(2)),quad when x!=0k,quad when x=0 is continuous at x=0

Find the value of a for which f(x)={((1-cos4x)/(8x^2), "" xne0),(a, x=0 ""):} is continuous at x = 0

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

If the function f(x) {((1 - cos 4x)/(8x^(2))",",x !=0),(" k,",x = 0):} is continuous at x = 0 then k = ?

Is f(x)=(1+x)^((1)/(x)), when x!=0=e, when x=0 continuous at x=0?

If f(x) = {((1-cos4x)/x^2, when x 0):} . is continuous at x=0, then the value of a will be.

(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.

Let f(x)={[(1-cos4x)/(x^(2)), if x 0 continuous at x=0.

If the function f(x)={{:((1-cos(ax))/(x^2)," when "xne0),(1," when "x=0):} be continuous at x=0, then find the value of a.

Number of values of k so that the function f(x)={[4(2x-x^(2)), when x =0] is continuous at x=0, is