(3x-1)^20*(2x+3)^30/(7x+1)^50 当x趋向于无穷大时的极限是多少?
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(3x-1)^20*(2x+3)^30/(7x+1)^50 当x趋向于无穷大时的极限是多少?
(3x-1)^20*(2x+3)^30/(7x+1)^50 当x趋向于无穷大时的极限是多少?
(3x-1)^20*(2x+3)^30/(7x+1)^50 当x趋向于无穷大时的极限是多少?
lim(3x-1)^20*(2x+3)^30/(7x+1)^50
=lim((3-1/x)^20*(2+3/x)^30/(7+1/x)^50)
=lim(3-1/x)^20*lim(2+3/x)^30/lim(7+1/x)^50
=(lim(3-1/x))^20*(lim(2+3/x))^30/(lim(7+1/x))^50)
=3^20*2^30/7^50
3^20*2^30/7^50
分子分母同时除以x^50
把(7x+1)^50写成(7x+1)^30*(7x+1)^20。然后写成((3x-1)/(7x+1))^20*((2x+3)/(7x+1))^30剩下的会做了吧
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