lim(x→1)[(x^(3x-2)-x)sin2(x-1)]/(x-1)^3
lim(x→1)[(x^(3x-2)-x)sin2(x-1)]/(x-1)^3
数学人气:109 ℃时间:2020-03-24 10:57:12
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令t=x-1,则t→0lim【x→1】{[x^(3x-2)-x]·sin2(x-1)}/(x-1)³=lim【t→0】{[(t+1)^(3t+1)-(t+1)]·sin2t}/t³=lim【t→0】{[(t+1)^(3t+1)-(t+1)]·2t}/t³=2lim【t→0】[(1+t)^(3t+1)-1-t]/t² →...
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