lim(x趋于无穷) (2lnx+sinx)/(lnx+cosx)rt

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lim(x趋于无穷)(2lnx+sinx)/(lnx+cosx)rtlim(x趋于无穷)(2lnx+sinx)/(lnx+cosx)rtlim(x趋于无穷)(2lnx+sinx)/(lnx+cosx)

lim(x趋于无穷) (2lnx+sinx)/(lnx+cosx)rt
lim(x趋于无穷) (2lnx+sinx)/(lnx+cosx)
rt

lim(x趋于无穷) (2lnx+sinx)/(lnx+cosx)rt
答案为2
lim(x趋于无穷)(2lnx-1)/(lnx+1)≤lim(x趋于无穷) (2lnx+sinx)/(lnx+cosx)≤lim(x趋于无穷)(2lnx+1)/(lnx-1)
lim(x趋于无穷)(2lnx-1)/(lnx+1)=lim(x趋于无穷)(2lnx+1)/(lnx-1)=2
根据夹逼定理 得原式=2

答案为2
lim(x趋于无穷)(2lnx-1)/(lnx+1)≤lim(x趋于无穷) (2lnx+sinx)/(lnx+cosx)≤lim(x趋于无穷)(2lnx+1)/(lnx-1)
lim(x趋于无穷)(2lnx-1)/(lnx+1)=lim(x趋于无穷)(2lnx+1)/(lnx-1)=2
根据夹逼定理 得原式=2