`lim _(xto0) ((cos x -secx )/(x ^(2) (x+1)))=`

lim_(xto0) cos(1/x)

Let a =lim _(xto0) (ln (cos 2x ))/( 3x ^(2)) , b = lim _(xto0) (sin ^(2) 2x )/(x (1-e ^(x))), c = lim _(x to 1) (sqrtx-x )/( ln x). Then a,b,c satisfy :

Let a =lim _(xto0) (ln (cos 2x ))/( 3x ^(2)) , b = lim _(xto0) (sin ^(2) 2x )/(x (1-e ^(x))), c = lim _(x to 1) (sqrtx-x )/( ln x). Then a,b,c satisfy :

lim_(xto0)(1-cos(1-cosx))/(x^(4)) is

lim_(xto0) (1- cos 2x)/(x^(2)) = _______

The value of lim _(xto0) ((cos x -1) (cos x-e ^(x)))/(x ^(3)) is-

If lim _(xto0) (a cos x)/(x^2) + (b)/(x ^(2))=1/3, then b-a=

If lim _(xto0) (a cos x)/(x^2) + (b)/(x ^(2))=1/3, then b-a=

The value of lim_(xto0) ((1-cos2x)sin5x)/(x^(2)sin3x) is

The value of lim_(xto0) (1-(cosx)sqrt(cos2x))/(x^(2)) is