Determine the Maximum Error Guaranteed by Taylor's Theorem with Remainder $e ^ { - x }$

question 20

Multiple Choice

Determine the maximum error guaranteed by Taylor's Theorem with Remainder when the fifth-degree Taylor polynomial is used to approximate $e ^ { - x }$ in the interval $[ 0,1 ]$ centered at 0. Round your answer to five decimal places.

• A)0.02139
• B)0.00339
• C)0.00833
• D)0.00139
• E)0.05139

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Definitions:

Par Value

A nominal value assigned to a security or stock, often used to calculate dividends or interest.

Interest

The cost of borrowing money or the compensation paid for the use of money, usually expressed as an annual percentage rate.

Premium

The amount paid for an insurance policy, or the amount by which a bond or stock sells above its par value.

Par Value

The nominal or face value of a stock or bond as stated by the issuing company, which may differ from its market value.