GATE MA 2024 Paper 1 — page 18

Questions 52–54 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 18 of 22

Let

be the two fixed points of the function

, where

. For

, let the sequence

be generated by the fixed point iteration

Which one of the following is/are correct?

Your answerSelect all correct options. You can choose more than one.

converges to

for any

converges to

for any

converges to

for any

converges to

for any

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Which of the following is/are eigenvalue(s) of the Sturm–Liouville problem

Your answerSelect all correct options. You can choose more than one.

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Let

be a function such that

Which of the following is/are correct?

Your answerSelect all correct options. You can choose more than one.

is continuous at

, but not differentiable at

is differentiable at

All the directional derivatives of

exist and they are equal to zero

Both the partial derivatives of

exist and they are equal to zero

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2024 · Paper 1