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Can I ask a homework question here?

Assume that $f \in L^q(\mathbb R^d)$ for some $ q < \infty$ . show that

$\mathrm{lim}_{p \to \infty}||f||_p = ||f||_{\infty}$

$p$ conjugate of $q$

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    Please, make the question clear. You wrote "$p$ is the conjugate of $p$" but this doesn't make sense.2012-08-13
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    Thank you for your comment2012-08-13
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    I think that you should remove "$p$ conjugate of $q$". This is senseless since $p$ is a dummy parameter in $\lim_{p\to \infty}\lVert f\rVert_p$ while $q$ is fixed.2012-08-13

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