Question: Using Rudin's Chapter 1-3;Given the sequence:an=+5n3-n(a) Prove that the limit exists (use theorems etc. not the definition)(b) What is this limit?(use techniques that you might

Using Rudin's Chapter 1-3;Given the sequence:an=+5n3-n(a) Prove that the limit exists (use theorems etc. not the definition)(b) What is this limit?(use techniques that you might use in a calculus class)(c) Use the definition to prove that what you found above is indeed the limit.

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