趋向于无穷时,求lim{(x^3-2)⼀(x^3+3)}^x^3的极限

2025-05-21 09:53:39
推荐回答(2个)
回答1:

趋向于无穷时,
lim{(x^3-2)/(x^3+3)}^x^3
=e^limx^3*ln{1-5/(x^3+3)}^x^3
=e^limx^3*(-5/x^3)
=1/e^5

回答2:

=lime^(x^3ln(1-5/(x^3+3)))=lime^(-5x^3/(x^3+3))=e^(-5)