How do you know #{-1,1,-1,1,-1,1,...}# converges or diverges?
Charles ArochaThis succession is neither convergent nor divergent.
It is an irregular succession.
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William AbdallaThe sequence {-1, 1, -1, 1, -1, 1, ...} does not converge because it does not approach a single specific value as the number of terms increases. Instead, it alternates between two distinct values (-1 and 1) in a repeating pattern. Therefore, it diverges.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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