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Evaluate the following limit: lim(x->0)(...

Evaluate the following limit: `lim_(x->0)(3sin^2 x-2sinx^2)/(3x^2)`

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`lim_(x->0)(3sin^2 x-2sinx^2)/(3x^2)`
Now apply L-Hospital rule
`=lim_(x->0)(6sin x cos x-2cosx^2. 2x)/(6x)`
`=lim_(x->0) (sin x cosx)/x-(4x cos x^2)/(6x)`
`=lim_(x->0) (sin x cosx)/x-(2x cos x^2)/(3)`
`=1-2/3`
`=1/3`
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  3. Evaluate the following limit: lim(x->0)(3sin^2 x-2sinx^2)/(3x^2)

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  16. Evaluate the following limit: (lim)(x->0)(3sin x-sin3x)/(x^3)

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  17. Evaluate the following limit: (lim)(x->0)(sin ax+bx)/(a x+sin bx)

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