What is the limit of the X component as T approaches -2?

Understanding Limits of Vector-Valued Functions

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Mathematics
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11th Grade - University
•
Hard

Ethan Morris
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
-1
e^2
1
0
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method is used to find the limit of the Y component?
Completing the square
Factoring
L'Hôpital's Rule
Direct substitution
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit of the Y component as T approaches -2?
1/4
-1/4
0
2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What form does the limit of the Z component initially take?
0/0
Infinity
0/1
1/0
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is applied to resolve the indeterminate form of the Z component?
Chain Rule
Product Rule
L'Hôpital's Rule
Quotient Rule
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the numerator in the Z component's limit?
0
e^(t+2)
-2e^(t+2)
2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the denominator in the Z component's limit?
t^2 + 2
2t + 1
t + 2
2t - 1
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