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let f(x+y/2)= f(x)+ f(y) / 2 for all real x and y . if f'(0) exists and equals -1 and f(0)=1,find f(2)

let f(x+y/2)= f(x)+ f(y) / 2 for all real x and y . if f'(0) exists and equals -1 and f(0)=1,find f(2)

Grade:11

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
8 years ago

Denominator is going to zero but limit is constant means


f(2)=1


Thanks & Regards
Arun Kumar
IIT Delhi
Askiitians Faculty

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