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Chapter 7: Q. 41 (page 592)

Find the least upper bound of the sequences in Exercises 37鈥�42

12+14+18+鈰�+12k

Short Answer

Expert verified

The least upper bound is1.

Step by step solution

01

Step 1. Given information.

The given sequence is12+14+18+鈰�+12k.

02

Step 2. Least upper bound.

We know, the sum of the series is,

S1=121-12k1-12=1-12klimk鈫�鈭�Sk=limk鈫�鈭�1-12k=1

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