
Understanding Limits Involving Trigonometric Functions

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Olivia Brooks
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main problem discussed in the video?
Finding the limit of cosine of x over x squared minus one.
Finding the limit of cosine of x over x cubed minus one.
Finding the limit of tangent of x over x squared minus one.
Finding the limit of sine of x over x squared minus one.
Tags
CCSS.HSF-IF.C.7E
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the numerator, cosine of x, behave as x changes?
It oscillates between -1 and 1.
It increases linearly.
It decreases linearly.
It remains constant.
Tags
CCSS.HSF-IF.C.7D
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the denominator, x squared minus one, as x becomes very large?
It approaches zero.
It remains constant.
It becomes infinitely large.
It oscillates between -1 and 1.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of dividing a bounded numerator by an infinitely large denominator?
The result approaches infinity.
The result approaches zero.
The result oscillates between -1 and 1.
The result remains constant.
Tags
CCSS.HSF.TF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the maximum value that cosine of x can take?
-1
1
0
2
Tags
CCSS.HSF-IF.C.7E
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the minimum value that cosine of x can take?
1
2
-1
0
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What inequality is used to show the limit approaches zero?
0 < limit < 1
-1 < limit < 1
-1 <= limit <= 1
0 <= limit <= 0
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