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Discuss the continuity of the function ...

Discuss the continuity of the function `f(x)={(sin2x)/x ,ifx<0x+2,ifxgeq0`

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Given,
`f(x)=(sin2x)/x`
`L.H.L=lim_(x->0-)(sin2x)/x`
`=>lim_(x->0-)2(sin2x)/(2x)`
`=>2(1)`
`=>2----(i)`
Again,
...
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