AIEEE 2006

JEE Main 2006 Mathematics question on Limits Continuity and Differentiability

For x>0x > 0, lim⁡x→0[(sin⁡x)1/x+(1x)sin⁡x]\lim_{x \to 0} \left[(\sin x)^{1/x} + \left(\frac{1}{x}\right)^{\sin x}\right]
  1. A.
    0
  2. B.
    −1-1
  3. C.
    1
  4. D.
    2
Show answer

Correct option: C

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