Every problem in the chapter beside the book’s answer, a chapter at a time as you scroll.
Chapter 11: Practice: Exploring the Infinite
12 problems · 38 figureslimₓ→₀ sin x/(1 − cos x) §11.1 source ↗
Answer
Limits at Infinity of eˣ/x and x/eˣ §11.2 source ↗
Answer
limₓ→∞ (x¹/ˣ) §11.3 source ↗
Answer
Integrating 1/(5x + 2)² from 1 to infinity §11.4 source ↗
Answer
Confirming an Integral Converges §11.5 source ↗
Answer
Summing the Geometric Series §11.6 source ↗
Answer
Using the Ratio Test §11.7 source ↗
Answer
Finding the Radius of Convergence §11.8 source ↗
Answer
When does a function equal its Taylor series? §11.9 source ↗
Answer
1. §11.10 source ↗
Answer
2. §11.10 source ↗
Answer
Hyperbolic Sine §11.11 source ↗
Answer
End of the book.
Exercises and answers are adapted from 18.01SC Single Variable Calculus by Prof. David Jerison, which is free to read and download, and are used under the CC BY-NC-SA 4.0 licence. They are taken from the course’s problem and solution PDFs, cropped as printed, and set for the web, so they may differ slightly from the printed page. This adaptation is released under the same licence and is neither affiliated with nor endorsed by Jerison or MIT OpenCourseWare.