lim(x->0) (2+2x+sin2x)/((2x+sin2x)e^sinx...

`lim_(x->0) (2+2x+sin2x)/((2x+sin2x)e^sinx)` is

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`-1<=sinx<=1`
`-1<=sin2x<=1`
`lim_(x->oo)(((2/x)+2+sin2x/x)/((2+sin2x/x)e^(sinx)))`
`lim_(x->oo)2/2e^(sinx)`
`1/eltLlte`
Non exitence.

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