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1. Find the limits. Show your steps. 1+3x³ xx 2 + 4x + 6x³ (a) lim (b) lim (₁ x18 - 2x) √4x²+x-

1. Find the limits. Show your steps. 1+3x³ xx 2 + 4x + 6x³ (a) lim (b) lim (₁ x18 - 2x) √4x²+x-

Calculus: Early Transcendentals
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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--- ### 1. Find the limits. Show your steps. #### (a) \[ \lim_{{x \to \infty}} \frac{1 + 3x^3}{2 + 4x + 6x^3} \] #### (b) \[ \lim_{{x \to \infty}} \left(\sqrt{4x^2 + x - 2x}\right) \] --- Explanation: For each problem, show how to evaluate the limit as \( x \) approaches infinity. This usually involves simplifying the expression and applying limit properties. In part (a), divide the numerator and the denominator by the highest power of \( x \), and for part (b), simplify the terms under the square root.
Transcribed Image Text:--- ### 1. Find the limits. Show your steps. #### (a) \[ \lim_{{x \to \infty}} \frac{1 + 3x^3}{2 + 4x + 6x^3} \] #### (b) \[ \lim_{{x \to \infty}} \left(\sqrt{4x^2 + x - 2x}\right) \] --- Explanation: For each problem, show how to evaluate the limit as \( x \) approaches infinity. This usually involves simplifying the expression and applying limit properties. In part (a), divide the numerator and the denominator by the highest power of \( x \), and for part (b), simplify the terms under the square root.
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