Understanding Engineering Mathematics

(やまだぃちぅ) #1

(iii) 1+(− 2 )( 4 x)+


(− 2 )(− 3 )( 4 x)^2
2!

+

(− 2 )(− 3 )(− 4 )( 4 x)^3
3!
= 1 − 8 x+ 48 x^2 − 256 x^3

(iv) 1+


(
1
2

)
(−x)+

(

1
2

)(
1
2

)
(−x)^2

2!

+

(
1
2

)(

1
2

)(

3
2

)
(−x)^3

3!

= 1 −

x
2


x^2
8


x^3
16
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