Question 2.12) Is there some value of k for which the following function is continuous at x =-1? +k² if x < -1, if x = -1, if x>-1? f(x)=k+5 2 xº-k² Recall the "Careful" comment of question 1.22.
Question 2.12) Is there some value of k for which the following function is continuous at x =-1? +k² if x < -1, if x = -1, if x>-1? f(x)=k+5 2 xº-k² Recall the "Careful" comment of question 1.22.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
Related questions
Question
Can you please answer question 2.12
Transcribed Image Text:Question 2.11)
A) Consider the function f(x) =
i) Find lim f(x).
x-0
i) Find lim f₂(x).
x->2
(5x-2 when x<2,
B) Consider the function f₂(x) = {
1-3
when x ≥ 2;
ii) Verify whether f, is continuous at x = 2 or not.
i) Find lim f(x).
x-0
Chapter 2: CONTINUITY
C) Consider the function f(x) = {
i) Find lim f(x).
x-0
sin(2x)
X
ii) Verify whether f₁ is continuous at x = 0 or not.
D) Consider the function f(x) =
if x = 0,
if x = 0;
ii) Verify whether f, is continuous at x = 0 or not.
S-¼
9-x²
x+2
(1x)/x
C) r(x)=3/
0
for x < 0,
cot x
for x > 0;
ii) Verify whether f, is continuous at x = 0 or not.
Question 2.12)
Is there some value of k for which the following function is continuous at x=-1?
[+k²
if x < -1,
if x = -1,
if x>-1?
f(x)={k+5
Recall the "Careful" comment of question 1.22.
x+9k²
Question 2.21)
Find the interval(s) on which the following functions are continuous.
Make sure your answers mention some calculus aspects by first bringing up relevant properties of continuity
(Proposition/List seen in class...)
A) f(x)=-
2x+2
x²-x-2
B) h(x) = log (x²+x-
=√₁³-4t
x-6)
D) v(t)=1
Question 2.31)
Show that the equation 2 = 2x must have at least one solution on the interval (0,2).
Which theorem(s) or other result(s) seen in class are you using?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 5 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage