# True-False Quiz: Question 3: Infinite Limits of a_n and a_(n+1) are the Same

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• Published on Dec 19, 2023

In this video I show that if the limit as n approaches infinity of the sequence an approaches L than so does the limit as n approaches infinity of the sequence an+1. This is because if n approaches infinity, then so does n + 1 (since infinity + 1 is still infinity). Thus the limits are the same and the question is true.

Timestamps:

• Question 3: 0:00
• Solution: True: 0:13
• Both limits approach L as n approaches infinity: 1:00

Full video below:

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