An expression of the form 2 a = a, + az +a, + + a, + ... is called an infinite series. The letter k is called the index of summation and takes on values from the lower bound (which is 1 here) to the upper bound (which is infinity here). The dots mean that we are to continue the addition indefinitely. However, it is not practical to keep adding the terms indefinitely; we should be able to stop at some point. Hence, we need a criterion to stop the summation. The sum of part of the sequence is a partial sum. Usually, we either have to calculate the sum of the first n terms of a series or stop the summation when a term becomes less than some pre-defined tolerance value. The Maclaurin series expansion for f(x) =on an intervalfrom -1

An expression of the form 2 a = a, + az +a, + + a, + ... is called an infinite series. The letter k is called the index of summation and takes on values from the lower bound (which is 1 here) to the upper bound (which is infinity here). The dots mean that we are to continue the addition indefinitely. However, it is not practical to keep adding the terms indefinitely; we should be able to stop at some point. Hence, we need a criterion to stop the summation. The sum of part of the sequence is a partial sum. Usually, we either have to calculate the sum of the first n terms of a series or stop the summation when a term becomes less than some pre-defined tolerance value. The Maclaurin series expansion for f(x) =on an intervalfrom -1

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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