Find the Taylor Polynomial of Order 3 Generated by F $$f ( x ) = \frac { 1 } { 10 - x } , a = 0$$

question 113

Multiple Choice

Find the Taylor polynomial of order 3 generated by f at a.
- $$f ( x ) = \frac { 1 } { 10 - x } , a = 0$$

• A) \(P _ { 3 } ( x ) = \frac { x } { 10 } - \frac { x ^ { 2 } } { 100 } + \frac { x ^ { 3 } } { 1000 } - \frac { x ^ { 4 } } { 10,000 }\)
• B) \(P _ { 3 } ( x ) = \frac { x } { 10 } + \frac { x ^ { 2 } } { 100 } + \frac { x ^ { 3 } } { 1000 } + \frac { x ^ { 4 } } { 10,000 }\)
• C) \(P _ { 3 } ( x ) = \frac { 1 } { 10 } + \frac { x } { 100 } + \frac { x ^ { 2 } } { 1000 } + \frac { x ^ { 3 } } { 10,000 }\)
• D) \(P _ { 3 } ( x ) = \frac { 1 } { 10 } - \frac { x } { 100 } + \frac { x ^ { 2 } } { 1000 } - \frac { x ^ { 3 } } { 10,000 }\)

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