According to Taylor's Formula, What Is the Maximum Error Possible $\sum _ { n = 0 } ^ { 4 } \frac { x ^ { n } } { n ! }$

question 71

Multiple Choice

According to Taylor's Formula, what is the maximum error possible in the use of the sum $\sum _ { n = 0 } ^ { 4 } \frac { x ^ { n } } { n ! }$ to approximate $e ^ { x }$ in the interval $- 1 \leq x \leq 1$ ?

• A) \(\frac { e } { 240 }\)
• B) \(\frac { e } { 48 }\)
• C) \(\frac { e } { 480 }\)
• D) \(\frac { e } { 24 }\)
• E) \(\frac { e } { 20 }\)
• F) \(\frac { e } { 120 }\)
• G) \(\frac { e } { 12 }\)
• H) \(\frac { e } { 60 }\)

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