Calculus · Chapter 15 of 16

Series

5 curated · 154 from open sources · 9,200 generated

From open sources

154

Showing everything, including problems with no answer to check, a missing figure, or a near-copy elsewhere. Show only complete problems

#	Title	Difficulty
134453		Easy
134455	… is “telescoping” because … and … cancel … and	Medium
134461		Medium
134483		Deep
134488		Deep
134493	Suppose … in the limit comparison test	Deep
134494	Can you invent a series whose convergence you and your instructor cannot…	Deep
134497		Easy
134499		Easy
134501		Easy
134503		Easy
134505		Easy
134508	Can … converge absolutely if all … are negative	Easy
134511	(b) Is … positive or negative if … stops at a positive…	Easy
134513	Find the sum	Medium
134517	If … does not converge show that … does not converge	Medium
134525	The cosine of … radian is	Medium
134527	If … and … are convergent show that … is absolutely convergent	Medium
134529	Under what condition does … converge and what is its sum	Medium
134385	A basketball is dropped 10 feet and bounces back 6 feet	Easy
134386	Find the sums of … and … and …, and	Easy
134388	What is the second derivative of the geometric series, and what is…	Easy
134412		Medium
134413		Medium
134414		Medium
134415		Medium
134416		Medium
134417		Medium
134420	The equation … has the differential form	Medium
134430	(Calculator) In the same way find one decimal of … beyond	Deep
134432	Zeno's Paradox is that if you go half way, and then half…	Deep
134435		Easy
134440		Easy
134441		Easy
134443		Easy
134445		Easy
134446		Easy
134448		Easy
134477	The instruction for this exercise is printed above it in the book…	Medium
134478	The instruction for this exercise is printed above it in the book…	Medium
134479	The instruction for this exercise is printed above it in the book…	Medium
134480	In Problem 53 use Stirling's formula	Medium
134484		Deep
134485		Deep
134487		Deep
134489	… (test all …)	Deep
134491		Deep
134495		Easy
134507	Suppose … converges absolutely	Easy
134510	Show that … does not converge	Easy