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20_Sp205_PR.syeasmi000.2.2_Limits.pdf
SUMAYA YEASMIN 20 Sp205 PR Assignment 2.2 Limits due 02/26/2020 at 11:58pm EST
1. (1 point) Is it possible for lim
x→2 f (x) = 5 and yet f (2) = 3?
Answer ”y” for yes, or ”n” for no below.
Answer(s) submitted: •
(incorrect)
2. (1 point) Is it possible for lim
x→1 f (x) to exist when lim
x→1− f (x) = 3 and
lim x→1+
f (x) = 7?
Choose the answer from the Drop-down menu. Answer : [Yes/No] Answer(s) submitted: •
(incorrect)
3. (1 point) Which of the following is the meaning of the statement
lim x→3
f (x) = ∞? (a) As x approaches 3 from the right, f (x) is getting arbitrar-
ily large. (b) As x approaches 3 from the left, f (x) is getting arbitrarily large. (c) As x approaches 3 from either side, f (x) is getting arbitrarily large. (d) As x approaches 3 from either side, who knows where f (x) is going.
Answer(s) submitted: •
(incorrect)
4. (1 point) For the function f whose graph is given, state the value of
the given quantity below. If the quantity does not exist then en- ter DNE.
(a) lim x→0
f (x) help (limits)
(b) lim x→3−
f (x)
(c) lim x→3+
f (x)
(d) lim x→3
f (x)
(e) f (3)
Answer(s) submitted:
• • • • •
(incorrect)
5. (1 point) For the function f whose graph is given, state the value of
the given quantity below.
(a) lim x→1−
f (x) help (limits)
(b) lim x→1+
f (x)
(c) lim x→1
f (x)
(d) lim x→5
f (x)
(e) f (5) Answer(s) submitted:
• • • • •
(incorrect)
6. (1 point) For the function f whose graph is given, state the value of the
given quantity, if it exists. If it does not exist, enter ”n” below. (a) lim
x→−2− f (x)
(b) lim x→−2+
f (x)
(c) lim x→−2
f (x)
(d) f (−2) (e) lim
x→2− f (x)
(f) lim x→2+
f (x)
(g) lim x→2
f (x)
(h) f (2) (i) lim
x→4+ f (x)
(j) lim x→4−
f (x)
(k) f (0) (l) lim
x→0 f (x)
1
(a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l)
Answer(s) submitted:
• • • • • • • • • • • •
(incorrect)
7. (1 point) For the function g whose graph is given, state the value of
the given quantity, if it exists. If it does not exist, enter ”NONE” below.
(a) lim t→0−
g(t) help (limits)
(b) lim t→0+
g(t)
(c) lim t→0
g(t)
(d) lim t→2−
g(t)
(e) lim t→2+
g(t)
(f) lim t→2
g(t)
(g) g(2) (h) lim
t→4 g(t)
Answer(s) submitted:
•
• • • • • • •
(incorrect)
8. (1 point) For the function R whose graph is given, state the following:
(a) lim x→2
R(x) help (limits)
(b) lim x→5
R(x)
(c) lim x→−3−
R(x)
(d) lim x→−3+
R(x)
(e) The equations of the vertical asymptotes. List in increasing order below. x = x = x =
Answer(s) submitted:
• • • • • • •
(incorrect)
9. (1 point) For the function f whose graph is given, state the following:
(a) lim x→−7
f (x) help (limits)
(b) lim x→−3
f (x)
(c) lim x→0
f (x)
(d) lim x→6−
f (x)
(e) lim x→6+
f (x)
(f) The equations of the vertical asymptotes. List in increasing order below. x =
2
x = x = x =
Answer(s) submitted:
• • • • • • • • •
(incorrect)
10. (1 point) Sketch the following function and use it to determine the val-
ues of a (list in ascending order below) for which lim x→a
f (x) does not exist:
f (x) =
2− x if x <−1 x if −1≤ x < 1 (x−1)2 if x≥ 1
a = a =
Answer(s) submitted:
• •
(incorrect)
11. (1 point) Guess the value of the limit (if it exists) by evaluating the
function at values close to where the limit is to be done. If it does not exist, enter ”n” below. If the answer is infinite, use ”i” to represent infinity.
lim x→2
x2−2x x2− x−2
Answer(s) submitted:
• (incorrect)
12. (1 point) Guess the value of the limit (if it exists) by evaluating the
function at values close to where the limit is to be done. If it does not exist, enter ”n” below. If the answer is infinite, use ”i” to represent infinity.
lim x→−1
x2−2x x2− x−2
Answer(s) submitted:
• (incorrect)
13. (1 point) Guess the value of the limit (if it exists) by evaluating the
function at values close to where the limit is to be done. If it does not exist, enter ”n” below. If the answer is infinite, use ”i” to represent infinity.
lim x→1
x9−1 x10−1
Answer(s) submitted: •
(incorrect)
14. (1 point) Evaluate lim x→4+
3 x−4
Limit = help (limits)
Answer(s) submitted: •
(incorrect)
15. (1 point)
Evaluate lim x→5−
−7 x−5
Limit = help (limits)
Answer(s) submitted: •
(incorrect)
16. (1 point)
Determine (a) lim x→4−
1 x3−64
and (b) lim x→4+
1 x3−64
.
(a) help (limits) (b) help (limits)
Answer(s) submitted: • •
(incorrect)
17. (1 point) Find the vertical asymptotes of the function y =
x x2− x−110
.
x = . Separate multiple answers with commas. Answer(s) submitted: •
(incorrect)
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