Calc Unit 8 Evaluate the Limit using L'Hopital's Rule

Calc Unit 8 Evaluate the Limit using L'Hopital's Rule

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to evaluate limits when the degree of the numerator is larger than the denominator. It covers simplifying expressions using division, applying L'Hôpital's Rule for indeterminate forms, and alternative methods for evaluating limits, such as breaking out higher powers and using long division.

Read more

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when the degree of the polynomial in the numerator is larger than that in the denominator during direct substitution?

The limit approaches zero.

The limit approaches infinity.

The limit is undefined.

The limit approaches a finite number.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which rule is applied to solve indeterminate forms like Infinity over negative Infinity?

Chain Rule

Product Rule

L'Hôpital's Rule

Quotient Rule

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in applying L'Hôpital's Rule to an indeterminate form?

Simplify the expression.

Take the derivative of the numerator and denominator.

Multiply the numerator and denominator.

Add a constant to the expression.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is compared to long division for evaluating limits when the numerator's degree is higher?

Completing the Square

Polynomial Division

Synthetic Division

Partial Fraction Decomposition

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When dividing polynomials to evaluate limits, what should you focus on?

The constant terms

The middle terms

The highest degree terms

The coefficients of the terms