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Understanding L'Hopital's Rule with Exponential Indeterminate Forms

Understanding L'Hopital's Rule with Exponential Indeterminate Forms

Assessment

Interactive Video

Mathematics

11th - 12th Grade

Practice Problem

Hard

Created by

Jennifer Brown

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial form of the limit as X approaches infinity of X raised to the 1/X power?

Infinity raised to infinity

One raised to infinity

Zero raised to infinity

Infinity raised to zero

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which mathematical property is used to bring the exponent down in the expression X raised to the 1/X?

Exponential property

Algebraic property

Logarithmic property

Trigonometric property

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of the limit as X approaches infinity of X raised to the 1/X power?

Undefined

1

Infinity

0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What indeterminate form is encountered when evaluating the limit as X approaches zero from above of X raised to the 3X power?

Zero times negative infinity

Zero over zero

Infinity minus infinity

Infinity over infinity

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the expression X raised to the 3X power simplified to apply L'Hopital's Rule?

By using logarithms

By adding a constant

By dividing by X

By multiplying by X

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of the limit as X approaches zero from above of X raised to the 3X power?

Undefined

1

0

Infinity

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial form of the limit as X approaches infinity of (1 + 2/X) raised to the X power?

Infinity raised to infinity

Infinity raised to zero

One raised to infinity

Zero raised to zero

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