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Please solve the doubt in the given attachment. Problem based on limit and functional equation.

Please solve the doubt in the given attachment. Problem based on limit and functional equation.

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1 Answers

Arun
25758 Points
3 years ago
Dear student
 
As we know that sin x/ x when x tends to zero then it is 1 but from Left hand side means it is slightly less than 1.
 
hence
 
3 sin x/ x will be slightly less than 3
 
now greatest integer sign is there hence limit value is 2.
 
hence f(0) = 2

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