Explanation Given information: The limit lim n → ∞ 3 n 2 + 1 2 n 2 − 1 Calculation: Calculate the given limit as shown below. lim n → ∞ 3 n 2 + 1 2 n 2 − 1 = lim n → ∞ 3 n 2 + 1 n 2 2 n 2 − 1 n 2

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 1.1, Problem 40PS

To determine

To calculate: The given limit.

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Chapter 1.1, Problem 39PS

Chapter 1.1, Problem 41PS

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9. a) Determie values of a and b so that the function is continuous. ax - 2b f(x) 2 x≤-2 -2x+a, x ≥2 \-ax² - bx + 1, −2 < x < 2) 9b) Consider f(x): = 2x²+x-3 x-b and determine all the values of b such that f(x) does not have a vertical asymptote. Show work.

Chapter 1 Solutions

Calculus

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The given limit.

Solution Summary: The author explains how to calculate the given limit as shown below.

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To calculate: The given limit.

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Chapter 1 Solutions