Sticky Note
The value of lim x → 0 x Sin(15/a) is?
  1. Zero
  2. Infinity
  3. 15
  4. None of these
Explanation
  • Since limx0xsin(15/a)lim_{x to 0} x sin(15/a) is of the form xconstantx cdot text{constant}, and x0x to 0, the whole expression tends to 0.
  • The sine function remains bounded, so multiplying by xx (which approaches zero) results in zero.
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