_ƒ(x) = 2 sin X at x = 0.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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What would be the Taylor series that's generated by the following: 

The given function is \( f(x) = 2 \sin \left(\frac{x}{9}\right) \) at \( x = 0 \).

This represents a sinusoidal function where the amplitude is 2 and the argument of the sine function is \(\frac{x}{9}\), indicating a horizontal stretch. The function is evaluated at \( x = 0 \). 

In a graph of this function, you would see a sine wave with a maximum value of 2 and a minimum value of -2, due to the amplitude. The horizontal stretch factor of 9 affects the period of the sine wave.
Transcribed Image Text:The given function is \( f(x) = 2 \sin \left(\frac{x}{9}\right) \) at \( x = 0 \). This represents a sinusoidal function where the amplitude is 2 and the argument of the sine function is \(\frac{x}{9}\), indicating a horizontal stretch. The function is evaluated at \( x = 0 \). In a graph of this function, you would see a sine wave with a maximum value of 2 and a minimum value of -2, due to the amplitude. The horizontal stretch factor of 9 affects the period of the sine wave.
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