WZORY - szeregi.pdf

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341026355 UNPDF
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SzeregiMaclaurinapewnychfunkcjielementarnych
e x =
1 X
x n
n ! , x 2 R
n =0
sin x =
1 X
(2 n +1)! x 2 n +1 , x 2 R
( 1) n
n =0
cos x =
1 X
(2 n )! x 2 n , x 2 R
n =0
0
1
(1+ x ) =
1 X
B @
C A x n , | x | < 1 , 2 R
n
n =0
1
1 x =
1 X
x n , | x | < 1
n =0
1
1+ x =
1 X
( 1) n x n , | x | < 1
n =0
ln(1+ x )=
1 X
( 1) n
n +1 x n +1 , 1 <x 6 1
n =0
( 1) n
341026355.001.png
Zgłoś jeśli naruszono regulamin