Macky Boi Series

Question 1

1/(1+x)

Answer 1

(0 sum) (-1)^n (x^n), where abs x < 1

Question 2

1/(1-x)

Answer 2

(0 sum) x^n, where abs x < 1

Question 3

e^x

Answer 3

(0 sum) (x^n)/ (n!) where abs x < 1

Question 4

sin x

Answer 4

(0 sum, all real x) (-1^n) (x)^2n+1 / (2n+1)!

Question 5

cos x

Answer 5

(0 sum, all real x) (-1^n) (x)^2n / (2n)!

Question 6

ln (1+x)

Answer 6

(1 sum) (-1)^n-1 (x^n) / (n)

Question 7

tan -1 x

Answer 7

(0 sum) (-1)^n x^(2n+1) / (2n+1)