Sequence sums by Archimedean property: lim(n→∞)⁡(3n+1)/(2n+5)=3/2 and lim(n→∞)⁡(n2-1)/(n3+3)=1/2

Sequence sums by Archimedean property: lim(n→∞)⁡(3n+1)/(2n+5)=3/2 and lim(n→∞)⁡(n2-1)/(n3+3)=1/2

Hey Sophophiles! Two sums are solved from Sequence chapter. Feel free to write your suggestions, comments in the comment section below! Problems reference- Introduction to Real Analysis (4th Edition) by Sherbert and Bartle . Video editor software- BeeCut Last Monday video: How to use Slater's rule for Z eff? explained with two examples.    • How to use Slater's rule? (Explained with ...   Thank You!

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Sequence sums by Archimedean property: lim(n→∞)⁡(3n+1)/(2n+5)=3/2 and lim(n→∞)⁡(n2-1)/(n3+3)=1/2