- #1

Logarythmic

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If

[tex]\frac{f(x)}{x}[/tex]

is square integrable, why does

[tex]\int_a^b \frac{f(x)}{x} \sin{nx} dx \longrightarrow 0[/tex]

when

[tex]n \rightarrow \infty[/tex]

?

[tex]\frac{f(x)}{x}[/tex]

is square integrable, why does

[tex]\int_a^b \frac{f(x)}{x} \sin{nx} dx \longrightarrow 0[/tex]

when

[tex]n \rightarrow \infty[/tex]

?

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