✩ lim √25x² +279x+690 15x² +976 соех 1 2 O

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

Show the steps

The image shows a mathematical limit problem, which is written as follows:

\[ \lim_{x \to \infty} \frac{\sqrt{25x^4 + 279x + 690}}{15x^2 + 976} \]

This expression involves finding the limit of a fraction as \( x \) approaches infinity. The numerator contains a square root of a polynomial, and the denominator is a quadratic polynomial.

To solve this, you typically analyze the highest degree terms in both the numerator and denominator as \( x \to \infty \).
Transcribed Image Text:The image shows a mathematical limit problem, which is written as follows: \[ \lim_{x \to \infty} \frac{\sqrt{25x^4 + 279x + 690}}{15x^2 + 976} \] This expression involves finding the limit of a fraction as \( x \) approaches infinity. The numerator contains a square root of a polynomial, and the denominator is a quadratic polynomial. To solve this, you typically analyze the highest degree terms in both the numerator and denominator as \( x \to \infty \).
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 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