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What is the primary purpose of studying limits in calculus?

• To calculate the area under a curve

• To solve algebraic equations

• To understand the behavior of functions as they approach specific points

• To determine the derivative of a function

Which of the following is a common technique used to calculate limits?

• Completing the square

• L'Hôpital's rule

• Substitution method

• Integration by parts

When calculating limits, what does it mean if a function approaches infinity?

• The function has an infinite limit

• The function is undefined

• The function does not have a limit

• The function has a finite limit

How can limits be applied in real-world scenarios?

• To determine the maximum height of a projectile

• To calculate the speed of a moving object

• To model the growth of populations

• To predict the future value of stocks

In advanced mathematics, limits are crucial for understanding which of the following concepts?

• Geometric transformations

• Matrix multiplication

• Differential equations

• Probability distributions