6 — х — а? if x<1 { - - Let f(x) = 2х — 3 if x > 1 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) x →1- lim f(æ) = x →1+ lim x →1 f(x) =

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
Let \( f(x) = 
\begin{cases} 
6 - x - x^2 & \text{if } x \leq 1 \\
2x - 3 & \text{if } x > 1 
\end{cases} \)

Calculate the following limits. Enter "DNE" if the limit does not exist.

1. \( \lim_{x \to 1^-} f(x) = \) [Box for answer]

2. \( \lim_{x \to 1^+} f(x) = \) [Box for answer]

3. \( \lim_{x \to 1} f(x) = \) [Box for answer]
Transcribed Image Text:Let \( f(x) = \begin{cases} 6 - x - x^2 & \text{if } x \leq 1 \\ 2x - 3 & \text{if } x > 1 \end{cases} \) Calculate the following limits. Enter "DNE" if the limit does not exist. 1. \( \lim_{x \to 1^-} f(x) = \) [Box for answer] 2. \( \lim_{x \to 1^+} f(x) = \) [Box for answer] 3. \( \lim_{x \to 1} f(x) = \) [Box for answer]
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