Question:medium

If limₓtₒᵢₙfty xsin((1)/(x))=A and limₓ\to0 xsin((1)/(x))=B, then which one of the following is correct?

Show Hint

Use standard limits: sin t ~ t as t\to0.
Updated On: Mar 20, 2026
  • \(A=1,\;B=0\)
  • \(A=0,\;B=1\)
  • \(A=0,\;B=0\)
  • A=1,B=1
Show Solution

The Correct Option is A

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