Evaluate the following limits.
lim {(3x - 2)/(2x+1)}^4
x->positive infinity
Evaluate the following limits.
2007-09-22 3:06 am
回答 (2)
2007-09-22 3:16 am
✔ 最佳答案
lim {(3x - 2)/(2x+1)}^4x->positive infinity
=lim {(3-2/x)/(2+1/x)}^4
x->positive infinity
=(3/2)^4
=81/16
2007-09-22 3:26 am
lim {(3x - 2)/(2x+1)}^4
x->positive infinity
=lim { [(3x - 2)/x] / ([2x+1)/x] }^4(兩邊除x)
x->positive infinity
=lim {(3-2/x)/(2+1/x)}^4
x->positive infinity
={(3-0)/(2+0)}^4(when x->positive infinity,?/x ->0,but not equal to 0)
=(3/2)^4
=81/16
x->positive infinity
=lim { [(3x - 2)/x] / ([2x+1)/x] }^4(兩邊除x)
x->positive infinity
=lim {(3-2/x)/(2+1/x)}^4
x->positive infinity
={(3-0)/(2+0)}^4(when x->positive infinity,?/x ->0,but not equal to 0)
=(3/2)^4
=81/16
參考: 自己做
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