Q 7 Find lim y+21y2 +71y + 51 y2-9

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
Q 7 Find lim y+21y2 +71y + 51
y2-9
Transcribed Image Text:Q 7 Find lim y+21y2 +71y + 51 y2-9
Expert Solution
Step 1

Consider the given limits

lim+21 7ly+51
y2-9
x-3
Step 2

We can write this

21271_(y+3)(y +18y 17)
y2-9
lim
(y+3)(y-3)
x->3
(y2 +18y+17
= lim
(y-3)
Substitute y h+3 and h->0|
Step 3

Then

(h+3) +18(h+3)+17
lim
h+3-3
h->0
h224h80
lim
h
h-0
Step 4

Now substitute

1
h -and x
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 6 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