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MMLU-Pro / 8310 / Suppose f is analytic on the closed unit disk, f(0) = 0, and |f(z)| ≤ |e^z|…

Problem

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

question

Suppose f is analytic on the closed unit disk, f(0) = 0, and |f(z)| ≤\leq |e^z| whenever |z| = 1. How big can f((1 + i)/2) be? Return a numerical number.
Plain-text mathematical notation (without MathML)
Suppose f is analytic on the closed unit disk, f(0) = 0, and |f(z)| ≤ |e^z| whenever |z| = 1. How big can f((1 + i)/2) be? Return a numerical number.
Original LaTeX notation
Suppose f is analytic on the closed unit disk, f(0) = 0, and |f(z)| $\leq$ |e^z| whenever |z| = 1. How big can f((1 + i)/2) be? Return a numerical number.

category

math

options

  1. 2.3456
  2. 2.2360
  3. 3.0000
  4. 2.9876
  5. 1.9221
  6. 1.4142
  7. 3.1415
  8. 1.7321
  9. 2.7183
  10. 1.5678

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8310
task_id
fa263a93-22a8-5256-9376-3308bfb0b9d7
task_key
default--test--8310
task_revision_id
1
config / split
default / test

Official source

initial import