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lim ( xto 0 ) ( 1- cos x ) /( x^(2))...

` lim _( xto 0 ) ( 1- cos x ) /( x^(2))`

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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 2x)/(x^(2)) = _______

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Find the limits of the following: (i)lim_(xto0) (sin3x)/(x)" "(ii)lim_(xto0) (sin7x)/(sin4x)" "(iii)lim_(xto0) (1-cos^(2)x)/(x^(2))

Find the limits of the following: (i)lim_(xto0) (sin3x)/(x)" "(ii)lim_(xto0) (sin7x)/(sin4x)" "(iii)lim_(xto0) (1-cos^(2)x)/(x^(2))

Find the limits of the following: (i)lim_(xto0) (sin3x)/(x)" "(ii)lim_(xto0) (sin7x)/(sin4x)" "(iii)lim_(xto0) (1-cos^(2)x)/(x^(2))

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