## Precalculus (6th Edition) Blitzer

Step 1. $ln2\approx0.6931471906$ Step 2. $1-\frac{1}{2}+\frac{1}{3}\approx0.8333333333$ Step 3. $1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}\approx0.5833333333$ Step 4. $1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{5}\approx0.7833333333$ Step 5. We can observe that the values of steps 2-4 oscillate and get closer to the value from step 1. Extra: Results from steps 2-4 are partial values of a Taylor expansion for $ln2$