Math Analysis 1 – Induction Exercises

Induction method exercises

This is a selection of exercises about Induction principle.
To solve these, you need to study Induction Principle, Summations, Products of a sequence and factorials. This is a good exercise to practice your algebra and make sure you have enough familiarity with algebra to go ahead with math analysis study.

Mid-hard

This is an exercise you might try with a trigonometric function. The variable x is fixed “different from 2kπ”.

Hint: In the inductive step, you should apply the Werner formula:

hard

Prove these formulas, alid for every natural number greater than 2