GATE XE (Engineering Sciences) 2022 - Question 18

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Section: Engineering Mathematics | Marks: 2

Let 𝑓: ሺ0, βˆžαˆ»β†’β„ be the continuous function such that π‘“αˆΊπ‘₯ሻࡌ2 ΰ΅… ௚ሺ௫ሻ ΰ―« for all π‘₯ࡐ0, where π‘”αˆΊπ‘₯ሻࡌ Χ¬ π‘“αˆΊπ‘‘αˆ» ΰ―« ଡ 𝑑𝑑 for all π‘₯ࡐ0. Then π‘“αˆΊ2ሻ is equal to

  • A. 2 ΰ΅… log௘2
  • B. 2 ࡆ log௘2
  • C. 2 ΰ΅… log௘4
  • D. 2 ࡆ log௘4

Answer: C. 2 ΰ΅… log௘4

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