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MMLU-Pro / 11939 / Determine if the function f(x, y) = [(x^2 - y^2) / (x^2 + y^2)](1) iscontinuous…

Problem

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

question

Determine if the function f(x, y) = [(x^2 - y^2) / (x^2 + y^2)](1) iscontinuous at the origin.

category

engineering

options

  1. The function is continuous at (0, 0)
  2. The function is continuous along the line y = x
  3. The function has a removable discontinuity at the origin
  4. The function is continuous along the line y = -x
  5. The function is continuous at all points
  6. The function is continuous at all points except along the line y = x
  7. The function is continuous only at the origin
  8. The function is not continuous at (0, 0)

src

stemez-Electromagnetics

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Source and history

upstream_id / Original problem ID
11939
task_id
4cd92c74-b7b0-5024-9717-cb007891053d
task_key
default--test--11939
task_revision_id
1
config / split
default / test

Official source

initial import