GATE MA 2024 Paper 1 — page 13

Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 13 of 22

Let

. For which one of the following functions

does there exist a sequence of polynomials in

that uniformly converges to

Your answerChoose one option.

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Let

be a function. Which one of the following is a sufficient condition for

to be Lebesgue measurable?

Your answerChoose one option.

is a Lebesgue measurable function

There exist continuous functions

such that

is continuous almost everywhere on

For each

, the set

is Lebesgue measurable

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Let

be given by

. Let

be the

zero matrix. The space

may be identified with

in the usual manner. Which one of the following is correct?

Your answerChoose one option.

is a point of local minimum of

is a point of local maximum of

is a saddle point of

is not a critical point of

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2024 · Paper 1