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Evaluate: lim [sin(2x)/x] ; where [] is the x->0 greatest integer function

Evaluate:  lim      [sin(2x)/x] ; where [] is the                             x->0                        greatest integer function
                 
              

Grade:11

1 Answers

Arun
25750 Points
6 years ago
 
Dear Aryan
It is a 0/0 form hence using L'hospital rule
 
lim x->0 2 [cos2x /1]
Now
Cos 2x value will always be less than 1 as x is not exactly equal to 0.
Hence
Its GIF will be 0.
 
Now limit will be 
lim x->0 (0/1) 
Hence answer will be 0.
 
Regards
Arun (askIITians forum expert)

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