\lim _{n \rightarrow \infty} \cos \frac{x}{2} \cos \frac{x}{4} \cos \frac{x}{8} \cdots \cos \frac{x}{2^{n}}=\frac{\sin x}{x}


\left[\cos \frac{1}{2^{n}} x+\cos \frac{3}{2^{n}} x+\cdots+\cos \frac{2^{n}-1}{2^{n}} x\right] \frac{1}{2^{n-1}}


(See Problem 46 of Section 0.7.) (b) Recognize a Riemann sum leading to a definite integral. (c) Evaluate the definite integral.

7.3.34

Temukan pembahasan soal-soal dari buku ajar perkuliahan yang disusun oleh dosen-dosen terbaik. Solusi yang mendalam dan komprehensif dapat meningkatkan kemampuan kamu.

Chapter 0 - Preliminaries

Chapter 1 - Limits

Chapter 2 - The Derivative

Chapter 3 - Applications of Derivative

Chapter 4 - The Definite Integral

Chapter 5 - Applications of the Integral

Chapter 6 - Transcendental Functions

Chapter 7 - Techniques of Integration

Chapter 8 - Indeterminate Forms & Improper Integrals

Chapter 9 - Infinite Series

Chapter 10 - Conics and Polar Coordinates

Chapter 11 - Geometry in Spaces and Vectors

Chapter 12 - Derivatives for functions of Two or More Variables

Chapter 13 - Multiple Integrals

Chapter 14 - Vector Calculus

Kunci Jawaban Calculus 9th Edition

Pembahasan Soal & Kunci Jawaban Section 7.3 - Some Trigonometric Integrals

7.3.34

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