limx→0sin平方x/tanx平方=
答案:2 悬赏:40 手机版
解决时间 2021-11-14 06:06
- 提问者网友：相思似海深
- 2021-11-13 09:26
limx→0sin平方x/tanx平方=
最佳答案
- 五星知识达人网友：纵马山川剑自提
- 2021-11-13 09:55
lim(x->0) (sinx)^2/ tan(x^2) (0/0)
=lim(x->0) sin2x / [2x(sec(x^2))^2]
=lim(x->0) (cos(x^2))^2
=1追问可以不要这么复杂吗追答x->0
(sinx)^2 ~x^2
tan(x^2)~ x^2
lim(x→0)(sinx)^2/tan(x^2)
=lim(x→0) x^2/(x^2)
=1
=lim(x->0) sin2x / [2x(sec(x^2))^2]
=lim(x->0) (cos(x^2))^2
=1追问可以不要这么复杂吗追答x->0
(sinx)^2 ~x^2
tan(x^2)~ x^2
lim(x→0)(sinx)^2/tan(x^2)
=lim(x→0) x^2/(x^2)
=1
全部回答
- 1楼网友：我住北渡口
- 2021-11-13 10:48
方法1：
lim(x->0) (sinx)^2/ tan(x^2) (0/0)
=lim(x->0) sin2x / [2x(sec(x^2))^2]
=lim(x->0) (cos(x^2))^2
=1
方法2：
x->0
(sinx)^2 ~x^2
tan(x^2)~ x^2
lim(x→0)(sinx)^2/tan(x^2)
=lim(x→0) x^2/(x^2)
=1
lim(x->0) (sinx)^2/ tan(x^2) (0/0)
=lim(x->0) sin2x / [2x(sec(x^2))^2]
=lim(x->0) (cos(x^2))^2
=1
方法2：
x->0
(sinx)^2 ~x^2
tan(x^2)~ x^2
lim(x→0)(sinx)^2/tan(x^2)
=lim(x→0) x^2/(x^2)
=1
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