这道数学极限题怎么解?求大神详解
2个回答
展开全部
解:lim(2x-3x+1)/(3x+2x-1)
=lim(2x-3*3x)/(3x+2-1*2x)
=lim{(2/3)x-3}/{1+(1/2)*(2/3)x}
=-3
注:x→∞时(2/3)x=0
=lim(2x-3*3x)/(3x+2-1*2x)
=lim{(2/3)x-3}/{1+(1/2)*(2/3)x}
=-3
注:x→∞时(2/3)x=0
更多追问追答
追答
解:当x→+∞时(2/3)x=0
则lim(2x-3x+1)/(3x+2x-1)
=lim(2x-3*3x)/(3x+2-1*2x)
=lim{(2/3)x-3}/{1+(1/2)*(2/3)x}
=-3
当x→-∞时(3/2)x=0
则lim(2x-3x+1)/(3x+2x-1)
=lim(2x-3*3x)/(3x+2-1*2x)
=lim{1-3(3/2)x}/{(3/2)x+(1/2)}
=2
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