Computer postgraduate entrance examination-basic knowledge of high mathematics (continuous update)

Commonly used limit replacement formula

1、e^x-1～x (x→0)

2. e ^zhi(x 2)-1～x^2 (x→dao0)

3、1-cosx ～ 1 / 2x ^ 2 (x → 0)

4、1-cos(x^2)～1/2x4 (x→0)

5、sinx~x (x→0)

6、tanx~x (x→0)

7、arcsinx~x (x→0)

8、arctanx~x (x→0)

9、1-cosx ~ 1 / 2x ^ 2 (x → 0)

10、a^x-1~xlna (x→0)

11、e^x-1~x (x→0)

12 、 ln (1+x) ~ x (x → 0)

13、(1+Bx)^a-1~aBx (x→0)

14 、 [(1 + x) ^ 1 / n] -1 ~ 1 / nx (x → 0)

15 、 loga (1 + x) ~ x / lna (x → 0)

To be continued