Analysis and Approaches for IBDP Maths Ebook 2 | Page 203

SUMMARY POINTs
�
Common Maclaurin series:
1.
2 3
e
x �1� x� x � x �
2! 3!
2.
3 5 7
x x x
sin x� x� � � �
3! 5! 7!
3.
2 4 6
x x x
cos x �1� � � �
2! 4! 6!
4.
2 3 4
x x x
ln(1 � x)
� x� � � �
2 3 4
for �1�
x � 1
5.
3 5 7
x x x
arctan x� x� � � �
3 5 7
for �1�
x � 1
6.
n ( n)( n �1) 2 ( n)( n �1)( n � 2) 3
(1 � x) �1� nx � x � x �
(2)(1) (3)(2)(1)
for �1�
x � 1
14
Solutions of Chapter 14
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