t_2 (1).pdf Assignm Sandeep Kumar V 100 points Dear Students, Please find the As Best wishes!!!! Class comm Add a class comm SINGL Open with Google Docs ENT-2 TOPIC: LIMITS AND CONTINUITY SRM UNIVERSITY AP, ANDHRA PRADESH, INDIA LIMITS 1. Evaluate the limit, if it exists: (a) lim +9-3(e) im (-). 149 2-10 (3+h)-9 h (3+2)-3) lim (b) lim (d) lim √²+9-5 z+4 z 2. Does the limit lim f(r) where f(x)= √√F-4, x>4 8-2x, <4 exist? 2₁ z2 (a) Sketch the graph of f. (b) Evaluate each of the following, if it exists. L. im f(x) i lim f(x) iv. lim f(x) *** 4. If 4x-95/(z) Sz²-4x+7 for z20, find lim f(x). 5. Does the following limits exist? (a) lim, sin (b) lim acos - 5, find the following limits: (a) lim f(x) f(x) 7. Give examples of two functions f(x) and g(x) such that the following inequality holds: lim (f(x) + g(x)) if(x) + lim (2) 8. Is there a number a such that lim 3x²+ar+a+3 z²+z-2 exists? If so, find the value of a and the value of the limit. Page 1/4 Q + 6. If lim v. lim f(x) 2+2+ vi. limf(x) Assigned ed or create kas done nments to Sandeep Kumar
t_2 (1).pdf Assignm Sandeep Kumar V 100 points Dear Students, Please find the As Best wishes!!!! Class comm Add a class comm SINGL Open with Google Docs ENT-2 TOPIC: LIMITS AND CONTINUITY SRM UNIVERSITY AP, ANDHRA PRADESH, INDIA LIMITS 1. Evaluate the limit, if it exists: (a) lim +9-3(e) im (-). 149 2-10 (3+h)-9 h (3+2)-3) lim (b) lim (d) lim √²+9-5 z+4 z 2. Does the limit lim f(r) where f(x)= √√F-4, x>4 8-2x, <4 exist? 2₁ z2 (a) Sketch the graph of f. (b) Evaluate each of the following, if it exists. L. im f(x) i lim f(x) iv. lim f(x) *** 4. If 4x-95/(z) Sz²-4x+7 for z20, find lim f(x). 5. Does the following limits exist? (a) lim, sin (b) lim acos - 5, find the following limits: (a) lim f(x) f(x) 7. Give examples of two functions f(x) and g(x) such that the following inequality holds: lim (f(x) + g(x)) if(x) + lim (2) 8. Is there a number a such that lim 3x²+ar+a+3 z²+z-2 exists? If so, find the value of a and the value of the limit. Page 1/4 Q + 6. If lim v. lim f(x) 2+2+ vi. limf(x) Assigned ed or create kas done nments to Sandeep Kumar
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:9 New Tab
A Assignment-ll
A classroom.google.com/u/0/c/MzkzMzc2Nzc1MDY0/a/NDE3NTU5MDUONDAW/details
Calculus Limits and Continuity_Assignment_2 (1).pdf
Open with Google Docs
ENT - 2
SINGL
TOPIC: LIMITS AND CONTINUITY
SRM UNIVERSITY AP, ANDHRA PRADESH, INDIA
O Assignm
LIMITS
Assigned
Sandeep Kumar Ve
1. Evaluate the limit, if it exists:
100 points
V +9– 3
d or create
1
(a) lim
(c) lim
12+ 1
(e) lim
(3+ h)? – 9
(3+ z)-1 - 3-1
1² + 9 – 5
k as done
Dear Students,
(b) lim
h+0
(d) lim
ff) lim
h
I+4
VI – 4, r>4
exist?
I< 4
Please find the As
2. Does the limit lim f(x) where f(x) =
18 – 2r,
I,
I<1
nments
Best wishes!!!!
3,
2 – x², 1<x<2
I = 1
3. Let f(r) =
to Sandeep Kumar
I - 3,
I> 2
Verma
(a) Sketch the graph of f.
(b) Evaluate each of the following, if it exists.
i. lim f(r)
iii. lim f(r)
v. lim f(r)
I+1-
I+2+
2 Class comm
ii. lim f(r)
iv. lim f(r)
vi. lim f(r)
I+2-
Add a class comm
4. If 4x – 9 < f(x) <r? – 4r +7 for r 2 0, find lim f(r).
5. Does the following limits exist?
1
(a) lim r sin -
2
(b) lim z* cos
6. If lim
f(r)
= 5, find the following limits:
(a) lim f(x)
f(x)
(b) lim
7. Give examples of two functions f(x) and g(x) such that the following
inequality holds:
lim (f(r) + g(x)) # lim f(r) + lim g(x) .
8. Is there a number a such that
3x2 + ax + a+3
lim
I--2
x2 +x – 2
exists? If so, find the value of a and the value of the limit.
Page
1 I 4
+
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 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
