求lim(x→0) (x+sin2x)/(x-sin2x)

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求lim(x→0)(x+sin2x)/(x-sin2x)求lim(x→0)(x+sin2x)/(x-sin2x)求lim(x→0)(x+sin2x)/(x-sin2x)x→0sinx和x是等价无穷小所

求lim(x→0) (x+sin2x)/(x-sin2x)
求lim(x→0) (x+sin2x)/(x-sin2x)

求lim(x→0) (x+sin2x)/(x-sin2x)
x→0
sinx和x是等价无穷小
所以sin2x和2x是等价无穷小
所以原式=lim(x→0) (x+2x)/(x-2x)=-3