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MMLU-Pro / 8535 / Find the fundamental period of the given function:

Problem

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

question

Find the fundamental period of the given function: $$f(x)=\left\{\begin{array}{ll}(-1)^n, & 2 n-1 \leq x<2 n, \\ 1, & 2 n \leq x<2 n+1 ;\end{array} \quad n=0, \pm 1, \pm 2, \ldots\right.$$
Plain-text mathematical notation (without MathML)
Find the fundamental period of the given function:
$$f(x)=\left\{\begin{array}{ll}(-1)^n, & 2 n-1 \leq x<2 n, \\ 1, & 2 n \leq x<2 n+1 ;\end{array} \quad n=0, \pm 1, \pm 2, \ldots\right.$$
Original LaTeX notation
Find the fundamental period of the given function:
$$f(x)=\left\{\begin{array}{ll}(-1)^n, & 2 n-1 \leq x<2 n, \\ 1, & 2 n \leq x<2 n+1 ;\end{array} \quad n=0, \pm 1, \pm 2, \ldots\right.$$

category

math

options

  1. √2 (the square root of 2)
  2. 2
  3. 5
  4. 3
  5. π (pi)
  6. 1
  7. 6
  8. 2.5
  9. 8
  10. 4

src

scibench-diff

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Source and history

upstream_id / Original problem ID
8535
task_id
199e2de6-3eea-5cc9-a727-969dbe776bf5
task_key
default--test--8535
task_revision_id
1
config / split
default / test

Official source

initial import