GATE Mathematics - GATE 2017-2018 Questions and Answers

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Which of the following statements are TRUE?

P: If fâˆˆL¹(â„), then F is continuous.

Q: If fâˆˆL¹(â„) and lim_{|x|â†’âˆž}f(x) exists, then the limit is zero.

R: If fâˆˆL¹(â„), then f is bounded.

S: If fâˆˆL¹(â„) is uniformly continuous, then lim_{|x|â†’âˆž}f(x) exists and equals zero.

Q and S only

P and R only

P and Q only

R and S only

Answer : Option A

Explanation :

-NA-

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