Week 7: A Reciprocal Sum

Screen Shot 2022-12-08 at 8.17.51 AM

Week 7: A Reciprocal Sum

This is a bit of a longer problem – and could be expanded to start a nice investigation.  The problem is given below:

Screen Shot 2022-12-08 at 8.14.47 AM

Teacher notes:

Level of difficulty:  Only HL

Syllabus knowledge required:  This mixes a knowledge of graphs, ideas in formal proof and differentiation.

This is a good introduction to more formal mathematical techniques for finding upper/lower bounds for functions – and also in working with generalized functions.  It would probably require longer than a usual starter.  It would make a nice mini-investigation task and could be combined with using Desmos to draw some relevant graphs.

The pdf solution can be downloaded here.

Published by Ibmathsresources.com

Maths teacher

Leave a Reply