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Calculus Mixed Practice: Mixed calculus MCQ

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Mixed calculusMediumQuestion 430006

Question

lim(x→∞) x sin(1/x) equals:
  1. A
    1
    Correct
  2. B
    0
  3. C
    ∞
  4. D
    sin 1

Correct answer

1

Explanation

Let t = 1/x → as x→∞, t→0. x sin(1/x) = sin(t)/t → 1 as t→0 (standard limit).

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