Homework Help is Here – Start Your Trial Now!
Math
Calculus
7. (3 pts) Evaluate the limit if it exists. If it does not exist, explain whether it is co, -co, or neither. lim 2x²+3x+1 x-x²-2x-3 Solution Direct substitution of "-1" into the expression yields the indeterminate form of "0/0". Instead, we proceed as follows by factoring the numerator and denominator and cancelling the common factor, (x+1), before taking the limit': lim 2x²+3x+1 x-x²-2x-3 = lim (0, 0.5, 1) (0, 0.5, 1) (0, 0.5, 1) 2x+1 lim 2(−1)+1 _ −1 _ 1 x-x-3 -1-3 -4 4 (2x+1)(x+1) x-1 (x-3)(x+1)

7. (3 pts) Evaluate the limit if it exists. If it does not exist, explain whether it is co, -co, or neither. lim 2x²+3x+1 x-x²-2x-3 Solution Direct substitution of "-1" into the expression yields the indeterminate form of "0/0". Instead, we proceed as follows by factoring the numerator and denominator and cancelling the common factor, (x+1), before taking the limit': lim 2x²+3x+1 x-x²-2x-3 = lim (0, 0.5, 1) (0, 0.5, 1) (0, 0.5, 1) 2x+1 lim 2(−1)+1 _ −1 _ 1 x-x-3 -1-3 -4 4 (2x+1)(x+1) x-1 (x-3)(x+1)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter6: Exponential Functions And Sequences
Section: Chapter Questions
Problem 7CA
See similar textbooks
icon
Related questions
Question

Can you show the steps of how to get this answer, and explain all the steps.

7. (3 pts) Evaluate the limit if it exists. If it does not exist, explain whether it is co, -co, or neither. lim 2x²+3x+1 x-x²-2x-3 Solution Direct substitution of "-1" into the expression yields the indeterminate form of "0/0". Instead, we proceed as follows by factoring the numerator and denominator and cancelling the common factor, (x+1), before taking the limit': lim 2x²+3x+1 x-x²-2x-3 = lim (0, 0.5, 1) (0, 0.5, 1) (0, 0.5, 1) 2x+1 lim 2(−1)+1 _ −1 _ 1 x-x-3 -1-3 -4 4 (2x+1)(x+1) x-1 (x-3)(x+1)
Transcribed Image Text:7. (3 pts) Evaluate the limit if it exists. If it does not exist, explain whether it is co, -co, or neither. lim 2x²+3x+1 x-x²-2x-3 Solution Direct substitution of "-1" into the expression yields the indeterminate form of "0/0". Instead, we proceed as follows by factoring the numerator and denominator and cancelling the common factor, (x+1), before taking the limit': lim 2x²+3x+1 x-x²-2x-3 = lim (0, 0.5, 1) (0, 0.5, 1) (0, 0.5, 1) 2x+1 lim 2(−1)+1 _ −1 _ 1 x-x-3 -1-3 -4 4 (2x+1)(x+1) x-1 (x-3)(x+1)
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS