im (x sin(2)) (a) Describe the type of indeterminate form (if any) that is obtained by direct substitution. O 1⁰⁰ 0⁰

Calculus: Early Transcendentals
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Author:James Stewart
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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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Consider the following.
im (x sin(²))
(a) Describe the type of indeterminate form (if any) that is obtained by direct substitution.
88
0.00
0⁰
∞-∞0
not indeterminate
(b) Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use ∞ or -∞, enter INFINITY or -INFINITY, respectively.)
(c) Use a graphing utility to graph the function and verify the result in part (b).
-20
-20
-10
-10
-2
b
10
x
10
X
20
20
-20
-20
-10
-10
y
y
3
2
-1
-2
?
3
-1-
-2
10
X
0 x
10
X
20
20
Transcribed Image Text:Consider the following. im (x sin(²)) (a) Describe the type of indeterminate form (if any) that is obtained by direct substitution. 88 0.00 0⁰ ∞-∞0 not indeterminate (b) Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use ∞ or -∞, enter INFINITY or -INFINITY, respectively.) (c) Use a graphing utility to graph the function and verify the result in part (b). -20 -20 -10 -10 -2 b 10 x 10 X 20 20 -20 -20 -10 -10 y y 3 2 -1 -2 ? 3 -1- -2 10 X 0 x 10 X 20 20
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