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Chapter 7: Q. 42 (page 592)

Find the least upper bound of the sequences in Exercises 37–42
${2, 2.7, 2.71, 2.718, 2.7182, \dots}$

Short Answer

Expert verified

The upper bound is $e .$

Step by step solution

Step 1. Given information.

The given sequence is ${2, 2.7, 2.71, 2.718, 2.7182, \dots} .$

Step 2. Explanation.

The given sequence shows $2 \leq a_{k} < e for all k \geq 1 \sin c e e \approx 2.718281828459045235360 .$

The sequence possess least upper bound given by $e .$

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Find the least upper bound of the sequences in Exercises 37–42{2,2.7,2.71,2.718,2.7182,…}

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Explanation.

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Find the least upper bound of the sequences in Exercises 37–42
${2, 2.7, 2.71, 2.718, 2.7182, \dots}$