Ask Singapore Homework?

Upload a photo of a Singapore homework and someone will email you the solution for free.



Question

junior college 1 | H1 Maths
One Answer Below

Anyone can contribute an answer, even non-tutors.

Answer This Question
Jia Yun
Jia Yun

junior college 1 chevron_right H1 Maths chevron_right Singapore

can someone explain why the series diverge? thank you!!

Date Posted: 2 years ago
Views: 248
John Wee
John Wee
2 years ago
Not in H2 syllabus although someone does explain it here https://tutorial.math.lamar.edu/classes/calcii/convergenceofseries.aspx

See 1 Answer

A divergent series is one that does not converge. This means the series (which by definition is the sum of the terms in a sequence) does not have a limit and is not finite. Neither do the individual terms of the series converge/tend to any particular value.
In this case you have a oscillating/alternating series, where the value alternates between 0 and 1.
References for further reading :
mathworld.wolfram.com/DivergentSeries.html
mathworld.wolfram.com/ConvergentSeries.html
The study of this is beyond H2 level, let alone H1.
done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
J
J's answer
1022 answers (A Helpful Person)