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MMLU-Pro / 8427 / Let P₅(x) be the fifth-degree Taylor polynomial approximation for…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Let P5(x)P_5(x) be the fifth-degree Taylor polynomial approximation for f(x)=sin(x), centered at x=0. What is the Lagrange error of the polynomial approximation to sin(1)?.
Plain-text mathematical notation (without MathML)
Let P₅(x) be the fifth-degree Taylor polynomial approximation for f(x)=sin(x), centered at x=0. What is the Lagrange error of the polynomial approximation to sin(1)?.
Original LaTeX notation
Let $P_5(x)$ be the fifth-degree Taylor polynomial approximation for f(x)=sin(x), centered at x=0. What is the Lagrange error of the polynomial approximation to sin(1)?.

category

math

options

  1. 0.02098
  2. 0.00198
  3. 0.000198
  4. 0.01998
  5. 0.0198
  6. 0.19898
  7. 0.0000198
  8. 0.198
  9. 0.0000298
  10. 0.00298

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8427
task_id
30e40248-549c-5735-8393-b1f163b05dfc
task_key
default--test--8427
task_revision_id
1
config / split
default / test

Official source

initial import