`f:R->R` is defined by `f(x)={(cos3x-cosx)/(x^2), x!=0lambda, x=0` and `f` is continuous at `x=0;` then `lambda=`

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

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=

f(x) = {:([x] + [-x] x ne 2),(" "lambda " " x = 2 ):} f(x) is continuous at x = 2 then lambda =

If f (x) {{:((1 - cos 8 x )/(x^(2)) "," x ge 0 ),(lambda ", " x lt 0 ) :} is continous at x = 0 than lambda = ?

If f (x) {{:((1 - cos 8 x )/(x^(2)) "," x ge 0 ),(lambda ", " x lt 0 ) :} is continous at x = 0 than lambda = ?

A function f(x) is defined as below f(x)=(cos(sin x)-cos x)/(x^(2)),x!=0 and f(0)=a f(x) is continuous at x=0 if 'a' equals

f:R->R is defined by {:(f(x),=(cos3x-cosx)/(x^2),",","for" x != 0),(,=k, ",","for" x = 0):} If f(x) is continuous at x = 0, the value of k is

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 f(x) ={(3x-4, 0lexle2),(2x+lambda, 2ltxle3):} is continuous at x = 2, then lambda =