If `f: R to R` is defined by `f(x)={{:(,(1+3x^(2)-cos2x)/x^(2),"for "x ne 0),(,k,"for x=0"):}`

If f: R to R" is defined by f(x)"={{:(,(cos 3x-cosx)/(x^(2)),"for "x ne 0),(,lambda,"for "x=0):} and if f is continuous at x=0, then lambda=

If f : R to R defined by f(x) = {{:((1+ 3x^(2) - cos 2x)/(x^(2)) , " for " x ne 0),(k , " for " x = 0 ):}

If f : R to R is defined by f(x) = {:{ ((cos 3x - cos x)/(x^(2) ), " for " x ne 0), (lamda , " for " x =0):} and if f is continuous at x =0 , then lamda is equal to

If R to R is defined by f(x)={((2 sinx-sin2x)/(2x cos x)",","if "x ne 0),(a",","if " x =0):} then the value of a so that f is continuous at x = 0 is

If f : R rarr R is defined by f(x) = {((cos3x-cosx)/x^(2), x ne 0),(lambda, x = 0):} and if f is continuous at x = 0 then lambda is equal to

f(x)={{:((1-cos2x)/(x^(2)),if x ne 0),(5, if x = 0):} at x = 0 .