Mathematical Induction - Miscellaneous questions.
Test Yourself 1.
Prove the following relationships true for all natural numbers ≥ 1 except where otherwise noted.
| Product |
for integers n≥3. |
for integers ≥ 2 |
|
| Calculus | Prove that the nth derivative of xn is n! |
| Trigonometry | |
| Geometry | Prove that the sum of the angles of a polygon of n sides is (2n-4) right angles (for n ≥ 3). |