Suppose limn→∞un = ∞,limn→∞vn = ∞.
Show that limn→∞un +vn = ∞. We can agree to write ∞+∞ = ∞. In the same way justify the
following notation with b ∈ R
(a) ∞+b=∞
(b) b∞ =∞ if b>0
(c) b∞ = −∞ if b<0
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