in effect, any partial sum of the series is a suitable Taylor polynomial of the function f(x) at zero. The formula (2.1) is often used to approximate the values of the natural logarithm. Say, setting x = 1/3, we obtain from (2.1) the infinite series representing In(2), due to 1+1/3 1-1/3 = 2. (i) Find a rational number x = p/q which is the solution of the equation
in effect, any partial sum of the series is a suitable Taylor polynomial of the function f(x) at zero. The formula (2.1) is often used to approximate the values of the natural logarithm. Say, setting x = 1/3, we obtain from (2.1) the infinite series representing In(2), due to 1+1/3 1-1/3 = 2. (i) Find a rational number x = p/q which is the solution of the equation
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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