# Worksheet: Limits in a Real-World Context

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

**Q1: **

A company produces greetings cards with an initial cost of 6,000 LE and an extra cost of per card. The total cost is given by where is the number of produced cards. The maximum number of cards the company can produce a day is 15,000. Find the cost when the company produces an infinite number of cards.

- A 6,000 LE
- B0 LE
- C 7,500 LE
- D
- E 15,000 LE

**Q2: **

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

**Q3: **

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

**Q4: **

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

- A4
- B10
- C
- D