Use the given graph of f to state the value of each quantity, if it exists. If it does not exist, explain why. (a) lim f(x) x-2- (d) f(2) (b) lim f(x) X-2+ (e) lim f(x) x->4 (c) lim f(x) -2 (f) f(4)

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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Course: Applied Calculus 1

4. Use the given graph of f to state the value of each quantity,
if it exists. If it does not exist, explain why.
(c) lim f(x)
(f) f(4)
(a) lim f(x)
x-24
(d) f(2)
4
(d) lim f(x)
x⇒3
2
0
4
-2
(b) lim f(x)
0
Soun
(e) lim f(x)
5. For the function f whose graph is given, state the value of
each quantity, if it exists. If it does not exist, explain why.
(a) lim f(x)
(b) lim f(x)
(c) lim f(x)
x-1
X 3+
(e) ƒ(3)
2
2
4
(e) lim h(x)
X-0-
(h) h(0)
x
4
X
6. For the function whose graph is given, state the value of
each quantity, if it exists. If it does not exist, explain why.
(a) lim h(x)
(b) lim h(x)
X-37
(d) h(-3)
(g) lim h(x)
(c) lim_h(x)
x--3
(f) lim h(x)
x-0+
(i) lim h(x)
X-2
Transcribed Image Text:4. Use the given graph of f to state the value of each quantity, if it exists. If it does not exist, explain why. (c) lim f(x) (f) f(4) (a) lim f(x) x-24 (d) f(2) 4 (d) lim f(x) x⇒3 2 0 4 -2 (b) lim f(x) 0 Soun (e) lim f(x) 5. For the function f whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why. (a) lim f(x) (b) lim f(x) (c) lim f(x) x-1 X 3+ (e) ƒ(3) 2 2 4 (e) lim h(x) X-0- (h) h(0) x 4 X 6. For the function whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why. (a) lim h(x) (b) lim h(x) X-37 (d) h(-3) (g) lim h(x) (c) lim_h(x) x--3 (f) lim h(x) x-0+ (i) lim h(x) X-2
(j) h(2)
-4 -2 0
(c) lim A(x)
X-2+
(k) lim h(x)
X-5+
YA
-3
7. For the function g whose graph is shown, find a number a that
satisfies the given description.
(a) lim g(x) does not exist but g(a) is defined.
x-a
(b) lim g(x) exists but g(a) is not defined.
0
(c) lim g(x) and lim g(x) both exist but lim g(x) does
x->at
not exist.
(d) lim_ g(x) = g(a) but_lim_g(x) #g(a).
(d) lim f(x)
X-6-
2
2
4
4
0
8. For the function A whose graph is shown, state the following.
(a) lim A(x)
(b) lim A(x)
x-3
x-2-
(d) lim A(x)
*→-1
(e) The equations of the vertical asymptotes
2
6
(1) lim h(x)
x-5-
6 W
(b) lim f(x)
X--3
(e) lim f(x)
*→6+
00
9. For the function f whose graph is shown, state the following.
(c) lim f(x)
(a) lim f(x)
X→-7
5
Transcribed Image Text:(j) h(2) -4 -2 0 (c) lim A(x) X-2+ (k) lim h(x) X-5+ YA -3 7. For the function g whose graph is shown, find a number a that satisfies the given description. (a) lim g(x) does not exist but g(a) is defined. x-a (b) lim g(x) exists but g(a) is not defined. 0 (c) lim g(x) and lim g(x) both exist but lim g(x) does x->at not exist. (d) lim_ g(x) = g(a) but_lim_g(x) #g(a). (d) lim f(x) X-6- 2 2 4 4 0 8. For the function A whose graph is shown, state the following. (a) lim A(x) (b) lim A(x) x-3 x-2- (d) lim A(x) *→-1 (e) The equations of the vertical asymptotes 2 6 (1) lim h(x) x-5- 6 W (b) lim f(x) X--3 (e) lim f(x) *→6+ 00 9. For the function f whose graph is shown, state the following. (c) lim f(x) (a) lim f(x) X→-7 5
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