Lemma

Calculus · Chapter 15 of 16

Series

0 curated · 32 from open sources

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From open sources

32

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

#TitleDifficulty
134423Find a series for … by choosing … in (10b)Deep
134425To four decimal places, find the angle whose tangent isDeep
134427How many terms of the series … are needed before the first…Deep
134428If … and …, then the tangent of … isDeep
134429Find one decimal of … beyond … from the series for …Deep
134431From equation (10a) what isDeep
134481For the series … show that the ratio test failsDeep
134482Decide convergence in 57–66 and name your testDeep
134486Deep
134490… (test all …)Deep
134492… (test all …)Deep
134530For a conditionally convergent series, explain how the terms could be rearranged…Deep
134531Describe the terms in the product … and find their sumDeep
134532True or false: (a) Every alternating series convergesDeep
134533Every number … between 0 and 2 equals … with suitable terms…Deep
134535Show that no choice of signs will make … equal to zeroDeep
134537Suppose … converges andDeep
134424Compute … to its second decimal place without a calculator (OK to…Deep
134426Two tennis players move to the net as they volley the ballDeep
134483Deep
134488Deep
134493Suppose … in the limit comparison testDeep
134494Can you invent a series whose convergence you and your instructor cannot…Deep
134430(Calculator) In the same way find one decimal of … beyondDeep
134432Zeno's Paradox is that if you go half way, and then half…Deep
134484Deep
134485Deep
134487Deep
134489… (test all …)Deep
134491Deep
134534Every number … between … and 1 equals … with a suitable…Deep
134536### *43 Show that the tangent of … isDeep