# 11.3.3. Limit of a Function at Infinity

A company produces greeting cards with an initial cost of LE and extra cost of LE for each card. The total cost is given by where is the number of produced cards. If 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
• BLE
• CLE
• D

### Example

A company produces greeting cards with an initial cost of 6 000LE and extra cost of LE for each card. The total cost is given by where is the number of produced cards. If 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.

### Solution

The formula given for the total cost is where represents the number of cards produced.

If the company was able to produce an infinite number of cards, the cost would be given by

This limit can be found as the sum of the two separate limits.

The cost for producing an infinite number of cards would also be infinite.

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