Grade 11Differential Calculus
Evaluate: lim x->0 [sin(2x)/x] ; where [] is the greatest integer function
Evaluate: lim x->0 [sin(2x)/x] ; where [] is the greatest integer function
1 Answer
Arun
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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