# Worksheet: Limits in a Real-World Context

In this worksheet, we will practice applying limits in real-life applications.

**Q1: **

A companyβs profit in LE as a function of its advertisement expenditure is . Determine the profit as approaches 100 LE.

**Q2: **

In the figure below, points and lie on a circle of center and radius 1. Point is chosen so that . Setting to the length of and to the length of , what is the limit of as ?

**Q3: **

Using the figure below, determine the limit of length as the measure of tends to .

- A4
- B10
- C
- D

**Q4: **

A car moves with velocity . Find the velocity of the particle as approaches 2 hours.

- A100 km/h
- B250 km/h
- C125 km/h
- D0 km/h
- E1 km/h

**Q5: **

A train moves with acceleration . Find the acceleration of the train as approaches 0 seconds.