In Exercises 21-74, calculate the limit algebraically. If the limit does not exit, say why,
To calculate: The value of the limit algebraically and give reason, if limit does not exist.
The provided limit is .
Continuity of closed form function theorem:
Every function that is closed is continuous on its domain.
If exists and is defined, then
The sum of cubes is represented as:
Consider the limit,
Now, is a closed-form function, but does not lie within its domain.
So, continuity of closed form theorem cannot be applied.
Try to simplify the limit:
Apply sum of cubes and factorize the equation:
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started
Single Variable Calculus: Early Transcendentals, Volume I
Calculus: An Applied Approach (MindTap Course List)
Precalculus: Mathematics for Calculus (Standalone Book)
Calculus: Early Transcendental Functions
Calculus: Early Transcendentals
Essentials Of Statistics
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Calculus (MindTap Course List)
Statistics for The Behavioral Sciences (MindTap Course List)
Single Variable Calculus
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Probability and Statistics for Engineering and the Sciences
Understanding Basic Statistics
Mathematical Applications for the Management, Life, and Social Sciences
Contemporary Mathematics for Business & Consumers
Mathematical Excursions (MindTap Course List)
Elementary Geometry For College Students, 7e
Elementary Technical Mathematics
Calculus: Early Transcendental Functions (MindTap Course List)
Calculus of a Single Variable
Single Variable Calculus: Early Transcendentals
Trigonometry (MindTap Course List)
Elements Of Modern Algebra
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Multivariable Calculus, 8th
Introduction To Statistics And Data Analysis
Finite Mathematics for the Managerial, Life, and Social Sciences
Elementary Geometry for College Students