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Use Holder's inequality to show that if $$ lim _{n ightarrow infty) Eleft|X_{n} -X ight)^{s} ightarrow 0 $$ then $$ lim _{n ightarrow infty) Eleft|X_{n}-X

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Use Holder's inequality to show that if $$ \lim _{n ightarrow \infty) E\left|X_{n} -X ight)^{s} ightarrow 0 $$ then $$ \lim _{n ightarrow \infty) E\left|X_{n}-X ight|^{r} ightarrow @ $$ for $1 \leq r \leq s$. SP.PC.085

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