Let an rightarrow a and bn rightarrow b. Prove that if a, b R, an + bn rightarro
ID: 2973473 • Letter: L
Question
Let an rightarrow a and bn rightarrow b. Prove that if a, b R, an + bn rightarrow a + b and if a = infinity or b = infinity, or both, then an + bn rightarrow infinity. Let an rightarrow a and bn rightarrow b. Prove that if a, b R, anbn rightarrow ab; and if a = infinity and b > 0 or b = infinity and a > 0, or both a = infinity and b = infinity, then anbn rightarrow infinity. Let an rightarrow a, bn rightarrow b, bn 0. and b 0. Prove that if a, b R,an/bn rightarrow a/b. Formula and prove what happens when a = infinity, or b = infinity, or b = 0. Prove the following: Prove that and for a > 0.Explanation / Answer
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anbn -> ab
If a -> and b>0, ab -> *b ->
Therefore, anbn -> ab ->
If b -> and a>0, ab -> a* ->
Therefore, anbn -> ab ->
If b -> and a -> , ab -> * ->
Therefore, anbn -> ab ->
Proved
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