Taylorovy rozvoje

Question 1

1/(1-x)

Answer 1

∑x^n; x patří (-1,1)

Question 2

e^x

Answer 2

∑(x^n)/n!; x patří R

Question 3

sin x

Answer 3

∑(-1)^n * (x^(2n+1)) / (2n+1)!; x patří R

Question 4

cos x

Answer 4

∑(-1)^n * (x^(2n)) / (2n)!; x patří R

Question 5

sinh x

Answer 5

∑(x^(2n+1)) / (2n+1)!; x patří R

Question 6

cosh x

Answer 6

∑((x^(2n)) / (2n)!; x patří R

Question 7

ln(1+x)

Answer 7

∑(-1)^n * (x^(n+1)) / (n+1)!; x patří R