Calculus › Section J · Infinite series › Topic J.2
Series, convergence, and geometric series
Can you add infinitely many numbers and get a finite answer? Sometimes yes, and the idea powers everything from repeating decimals to how calculators compute functions.
In this topic
- Adding infinitely many numbers
- Series and partial sums
- Geometric series
- Why the geometric formula works
- Worked example: repeating decimals
- Telescoping series
- The divergence test
- The harmonic series diverges
- Worked example: a drug reaching steady state
- Common mistakes to avoid
- Key takeaways
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Standards: 10 (BC)