Learn how to evaluate the limit at infinity of a trigonometric function

Learn how to evaluate the limit at infinity of a trigonometric function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the properties of limits, focusing on breaking them down into parts for easier evaluation. The instructor explains how to handle limits involving sine functions and discusses the behavior of these functions as they approach infinity. The tutorial concludes with a discussion on graphing and the implications of zero times undefined limits.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main concept discussed when breaking apart limits?

Using limits to solve algebraic equations

Ignoring the properties of limits

Breaking a limit of a product into separate limits

Combining different limits into one

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the limit of 1/X as X approaches infinity?

0

1

Does not exist

Infinity

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the sine function as X approaches infinity?

It becomes undefined

It approaches a specific number

It oscillates between 1 and -1

It approaches zero

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When the sine function is multiplied by zero, what is the result?

Infinity

Undefined

Zero

One

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the amplitude in the sine function as discussed?

It changes the period

It changes the phase

It changes the maximum and minimum values

It changes the frequency