Provide an Appropriate Response $\sin x$ Is Replaced By $x - \frac { x ^ { 3 } } { 6 } + \frac { x ^ { 5 } } { 120 }$

question 284

Multiple Choice

Provide an appropriate response.
-If $\sin x$ is replaced by $x - \frac { x ^ { 3 } } { 6 } + \frac { x ^ { 5 } } { 120 }$ and $| x | < 0.8$ , what estimate can be made of the error?

• A) \(| \mathrm { E } | < 0.00029127\)
• B) \(| \mathrm { E } | < 0.000052013\)
• C) \(| \mathrm { E } | < 0.00036409\)
• D) \(| E | < 0.000041610\)

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