Evaluate the limit at infinity with square root

Evaluate the limit at infinity with square root

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate limits of a function as X approaches both positive and negative infinity. It demonstrates the process using a specific function, showing that the limit as X approaches infinity is -2/3, while the limit as X approaches negative infinity is 2/3. The tutorial concludes by encouraging students to verify the results using a calculator.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the limit of the function F of X as X approaches infinity?

-2/3

1/3

0

2/3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When X approaches negative infinity, what does the limit of the function F of X become?

2/3

0

1/3

-2/3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does the limit change to positive 2/3 when X approaches negative infinity?

Because the function is undefined

Because negative times negative is positive

Because absolute values are always negative

Because the limit is always positive

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the absolute value in the limit calculation?

It affects the sign of the limit

It ensures the limit is positive

It has no effect on the limit

It makes the limit negative

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do to verify the calculations discussed in the video?

Rewatch the video

Use a calculator

Ignore the calculations

Ask a friend