x2 – 4x +4 16. lim X2 x- 2

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...
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#16 please
(h) True or False: If lim In( f(x)) = -0∞, then lim ƒ (^) –
which of
x2
x2
-00.
with whe
Jaum( ) mil imil Isrbaho uo
2. Examples: Construct examples of the thing(s) described 1in
the following. Try to find examples that are different than
any in the reading.
7. lim
9.
lir
(a) Three limits of the indeterminate form
one that
11.
li
Setirapproaches oo, one that equals 0, and one that
equals 3.
(b) Three limits of the indeterminate form *, one that
X-
13. Fir
the
Wor
approaches o0, one that equals 0, and one that
mo) si equals 3.
(c) Three limits of the indeterminate form 0 · ∞, one
that approaches o, one that equals 0, and one that
equals 3.
3. Explain graphically why it makes sense that a limit
f(x)
14. F
lim
of the indeterminate form
would be related to
C
x→c g(x)
lim
f'(x)
x+c g'(x) *
isdt alimil sdi lo doss ori
lo lls svloa
Skills
Calculate each of the limits in Exercises 15–20 (a) using
L'Hôpital's rule and (b) without using L'Hôpital's rule.
Cal-
lim
x2 +x
-2
x2 – 4x +4
15. lim
0+16. lim
x- 1
X- 1
x1
x - 2
21.
17. lim
x>00 2- 3x2
3*
Xnie mil 18. lim
X0 1 - 4x
3x
23
e
2*
20. lim
X→0 4* – 1
1
19. lim
X00 1-e 2x
25
L U
Transcribed Image Text:(h) True or False: If lim In( f(x)) = -0∞, then lim ƒ (^) – which of x2 x2 -00. with whe Jaum( ) mil imil Isrbaho uo 2. Examples: Construct examples of the thing(s) described 1in the following. Try to find examples that are different than any in the reading. 7. lim 9. lir (a) Three limits of the indeterminate form one that 11. li Setirapproaches oo, one that equals 0, and one that equals 3. (b) Three limits of the indeterminate form *, one that X- 13. Fir the Wor approaches o0, one that equals 0, and one that mo) si equals 3. (c) Three limits of the indeterminate form 0 · ∞, one that approaches o, one that equals 0, and one that equals 3. 3. Explain graphically why it makes sense that a limit f(x) 14. F lim of the indeterminate form would be related to C x→c g(x) lim f'(x) x+c g'(x) * isdt alimil sdi lo doss ori lo lls svloa Skills Calculate each of the limits in Exercises 15–20 (a) using L'Hôpital's rule and (b) without using L'Hôpital's rule. Cal- lim x2 +x -2 x2 – 4x +4 15. lim 0+16. lim x- 1 X- 1 x1 x - 2 21. 17. lim x>00 2- 3x2 3* Xnie mil 18. lim X0 1 - 4x 3x 23 e 2* 20. lim X→0 4* – 1 1 19. lim X00 1-e 2x 25 L U
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