Answer
See explanations.
Work Step by Step
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 $ln2$
