Developpement Asymptotiques

Question 1

DL de shx

Answer 1

x + … + x^(2n+1) / (2n+1)!

Question 2

DL de ch x

Answer 2

1 + … + x^(2n)/ (2n)!

Question 3

DL de 1/ (1-x)

Answer 3

1 + x + x^2 + ….. + x^n

Question 4

DL de arctan (x)

Answer 4

x - x^3/3 + x^5/5 + … + (-1)^n x^(2n+1) / (2n+1)

Question 5

Tan x

Answer 5

1+x^3/3 +2/15 x^5 + 17/315 x^7

Question 6

th x

Answer 6

1 - x^3/3 + 2/15 x^5 - 17/315 x^7