lim(x+sinx)/(3x-arctanx)(x趋于无穷)

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lim(x+sinx)/(3x-arctanx)(x趋于无穷)lim(x+sinx)/(3x-arctanx)(x趋于无穷)lim(x+sinx)/(3x-arctanx)(x趋于无穷)上下同除以x=

lim(x+sinx)/(3x-arctanx)(x趋于无穷)
lim(x+sinx)/(3x-arctanx)(x趋于无穷)

lim(x+sinx)/(3x-arctanx)(x趋于无穷)
上下同除以x
=lim (1+sinx/x)/(3-arctanx/x)
=lim (1+0)/(3-0)
=1/3