Question: code class = asciimath > Suppose limsup _ ( n - > infty ) x _ ( n ) = alpha and

code class="asciimath">Suppose limsup_(n->\infty )x_(n)=\alpha and \lim_(n->\infty )y_(n)=c>0. Show that limsup_(n->\infty )x_(n)y_(n)=c\alpha (where we define c*(\infty )=(\infty ) and c*(-\infty )=-\infty .)
code class = "asciimath" > Suppose limsup _ ( n -

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