lim(x趋近无穷)(2x^2+4x+9)/(2x^2+x+1)
分母分子同时除以x^2
则有,
lim(x趋近无穷)(2+4/x+9/x^2)/(2+1+1/x^2)
可以看出,当x趋于无穷时,
4/x,9/x^2,2+1,1/x^2都趋于0
所以原极限趋于1
极限lim(x趋近无穷)(2x^2+4x+9)/(2x^2+x+1)=
极限lim(x趋近无穷)(2x^2+4x+9)/(2x^2+x+1)=
数学人气:145 ℃时间:2019-10-19 03:42:10
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