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please send step by step handwritten solution 2. Consider the sequence (a,), where a, = An + (-1) Determine lim a,, and prove the An?

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please send step by step handwritten solution

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2. Consider the sequence (a,), where a, = An + (-1)" Determine lim a,, and prove the An? + n existence of this limit using the definition in terms of & and N(c). State and explain whether the sequence (a,,) is bounded or not

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