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

Evaluate the following limit: `(lim)_(x->0)(sin5x-sin3x)/(sinx)`

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`(lim)_(x->0)(sin5x-sin3x)/(sinx)`

We know,

`(lim)_(x->0) (sin x)/(x)=1`

`(lim)_(x->0) (tan x)/(x)=1`

`(lim)_(x->0)(5x-3x)/(x)`

`(lim)_(x->0)(2x)/(x)=2`

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