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Question

limx0esinxsinx1x2 is equal to 
  1.  
  2.  
  3.  
  4.  


Solution

The correct option is B  
limx0esinxsinx1x2=limx0(1+sinx1!+sin2x2!+sin3x3!+...)sinx1x2=limx0sin2xx2(12!+sinx3!+...)=12

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