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Example Questions
Example Question #62 : Polynomial Approximations And Series
Let be the fifth-degree Taylor polynomial approximation for , centered at .
What is the Lagrange error of the polynomial approximation to ?
Possible Answers:
Correct answer:
Explanation:
The fifth degree Taylor polynomial approximating centered at is:
The Lagrange error is the absolute value of the next term in the sequence, which is equal to .
We need only evaluate this at and thus we obtain
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