Let (left{X_{n}ight}_{n=1}^{infty}) be a sequence of random variables such that [lim _{n ightarrow infty} Eleft(left|X_{n}-cight|ight)=0] for some

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Let \(\left\{X_{n}ight\}_{n=1}^{\infty}\) be a sequence of random variables such that

\[\lim _{n ightarrow \infty} E\left(\left|X_{n}-cight|ight)=0\]

for some \(c \in \mathbb{R}\). Prove that \(X_{n} \xrightarrow{p} c\) as \(n ightarrow \infty\).

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