Homework Help is Here – Start Your Trial Now!
Math
Calculus
3x2 + sin(x lim x(x + 5) x→0

3x2 + sin(x lim x(x + 5) x→0

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...
See similar textbooks
Question
The image displays a mathematical limit expression: \[ \lim_{{x \to 0}} \frac{3x^2 + \sin(x)}{x(x + 5)} \] This expresses the limit as \( x \) approaches 0 for the function \(\frac{3x^2 + \sin(x)}{x(x + 5)}\). The expression involves the polynomial \(3x^2\), the trigonometric function \(\sin(x)\), and a quadratic term in the denominator \(x(x + 5)\). To evaluate this limit, techniques such as L'Hôpital's Rule, simplification, or approximation using Taylor series might be applied, depending on the specific evaluation context.
Transcribed Image Text:The image displays a mathematical limit expression: \[ \lim_{{x \to 0}} \frac{3x^2 + \sin(x)}{x(x + 5)} \] This expresses the limit as \( x \) approaches 0 for the function \(\frac{3x^2 + \sin(x)}{x(x + 5)}\). The expression involves the polynomial \(3x^2\), the trigonometric function \(\sin(x)\), and a quadratic term in the denominator \(x(x + 5)\). To evaluate this limit, techniques such as L'Hôpital's Rule, simplification, or approximation using Taylor series might be applied, depending on the specific evaluation context.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Indefinite Integral
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
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
SEE MORE TEXTBOOKS