Question: code class = asciimath > For any two real sequences { a _ ( n ) } , { b _ ( n ) }

code class="asciimath">For any two real sequences {a_(n)},{b_(n)}, prove that limsup_(n->\infty )(a_(n)+b_(n))=limsup_(n->\infty )a_(n)+limsup_(n->\infty )b_(n), provided the sum on the right is not of the form \infty-\infty .
code class = "asciimath" > For any two real

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