Math Easy Solutions | True-False Quiz: Question 3: Infinite Limits of a_n and a_(n+1) are the Same @mes | Uploaded December 2023 | Updated October 2024, 2 hours ago.
In this video I show that if the limit as n approaches infinity of the sequence a_n approaches L than so does the limit as n approaches infinity of the sequence a_(n+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:
- Infinite Sequences and Series: Review and True-False Quiz: youtu.be/F0dsQLdXXpI
- HIVE video notes: peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz
- Video sections playlist: youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L
Related Videos:
Infinite Sequences and Series playlist: youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
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In this video I show that if the limit as n approaches infinity of the sequence a_n approaches L than so does the limit as n approaches infinity of the sequence a_(n+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:
- Infinite Sequences and Series: Review and True-False Quiz: youtu.be/F0dsQLdXXpI
- HIVE video notes: peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz
- Video sections playlist: youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L
Related Videos:
Infinite Sequences and Series playlist: youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
------------------------------------------------------
Become a MES Super Fan! youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: peakd.com/@mes
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps