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Grade: 11
        
If f(x)=ltn->infinite ([x^2]+[(2x)^2]+[(4x)^2]+...+[(nx)^2]/n^3,prove that f(x) is a continuous function.[] is GIF
4 years ago

Answers : (1)

Arun Kumar
IIT Delhi
askIITians Faculty
256 Points
							
The fractional part is
because max value of {} is 1 so lim =0

Now its clear that the function is continuos.

Arun Kumar
IIT Delhi
Askiitians Faculty
4 years ago
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