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:

Total Economic Costs

The sum of all costs associated with the production of a good or service, including both explicit (direct) costs and implicit (indirect or opportunity) costs.

Implicit Cost

The opportunity costs of using resources that a firm already owns to make its products, as opposed to renting, selling, or using them in another way.

Forgone Rent

The potential income lost by choosing to use a property or resource in a way that is not financially optimal or by not using it at all.

Economic Profits

The surplus generated from business activities after accounting for both explicit and implicit costs, including opportunity costs, representing above-normal returns.