2. Find the limit. Show your steps. (a) lim x18 X √x² + 3x + √√√x² + 2x (b) lim x18 4 (x + 1)¹ (2x² + 1) (2x² - 1)

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...
icon
Related questions
Question
### 2. Find the limit. Show your steps.

#### (a) 
\[ \lim_{x \to \infty} \frac{x}{\sqrt{x^2 + 3x} + \sqrt{x^2 + 2x}} \]

#### (b) 
\[ \lim_{x \to \infty} \frac{(x + 1)^4}{(2x^2 + 1)(2x^2 - 1)} \]
Transcribed Image Text:### 2. Find the limit. Show your steps. #### (a) \[ \lim_{x \to \infty} \frac{x}{\sqrt{x^2 + 3x} + \sqrt{x^2 + 2x}} \] #### (b) \[ \lim_{x \to \infty} \frac{(x + 1)^4}{(2x^2 + 1)(2x^2 - 1)} \]
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning