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The functional extremum problem can be solved by perturbing a family of curves around the extremum curve, and the functional extremum problem can be transformed into a common function extremum problem to be solved. ( )

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The brachistochrone problem refers to when the particle is only affected by gravity, it slides from one point along the curve ( ) to another point.

A. The shortest time
B. The shortest path
C. The maximum speed
D. None of the above answers

1. For the functional mentioned in the video, which of the following statements is true . ( )

A. The functional maps a function to a function
B. The functional maps a function to a real number
C. The functional maps a real number to a real number
D. None of the above answers

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Which of the following statements is true. ( )

A monotonic sequence has a limit
B. The monotonic decreasing sequence with an upper bound has a limit
C. The monotonic rising sequence with a lower bound has a limit
D. The monotonic rising sequence with an upper bound has a limit

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Scientists’ predictions about human speed of 100 meters have been broken again and again, meaning that the so-called ‘limit’ of the speed of 100 meters does not exist! ( )

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