Understanding Limits: Determinate and Indeterminate Forms

What is the primary difference between determinate and indeterminate forms?

• Neither form can be evaluated directly.

• Determinate forms can be evaluated directly, while indeterminate forms require further analysis.

• Indeterminate forms can be evaluated directly, while determinate forms require further analysis.

• Both forms can be evaluated directly.

What happens to a limit if the numerator approaches zero and the denominator approaches a non-zero constant?

• The limit is indeterminate.

• The limit approaches infinity.

• The limit approaches zero.

• The limit approaches a constant.

When both the numerator and denominator of a limit approach zero, what type of form is this?

• Determinate form

• Indeterminate form

• Infinite form

• Zero form

In the context of limits, what does it mean if a function is 'bottom heavy'?

• The function has no degree.

• Both numerator and denominator have the same degree.

• The denominator has a higher degree than the numerator.

• The numerator has a higher degree than the denominator.

What is the result when two infinite quantities are multiplied together?

• Another infinite quantity

• An indeterminate form

• A finite number

• Zero

What is the outcome when a positively infinite quantity is added to another positively infinite quantity?

• Zero

• A finite number

• A positively infinite quantity

• A negatively infinite quantity

What happens when a number slightly larger than one is raised to an infinite power?

• It becomes indeterminate.

• It grows without bound.

• It remains constant.

• It approaches zero.

What is the result of raising zero to a constant power?

• Indeterminate

• Infinity

• One

• Zero

What is the outcome when a quantity approaching one is raised to a power approaching infinity?

• Zero

• Infinity

• One

• Indeterminate

What rule can be applied to resolve indeterminate forms?

• L'Hopital's Rule

• Pythagorean Theorem

• Newton's Law

• Euler's Formula