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Step-by-step Answer
PAGE: 479SET: ExercisesPROBLEM: 87
Please look in your text book for this problem Statement

The compounded amount function is .

Where the initital amount is constant.

Consider the function is .

Apply logarithm on each side.

Evaluate of the limit .

.

LHospitals Rule :

 If the value of limit is indeterminate form of type  or , then

Since use LHospitals rule.

.

Substitute in .

Therefore as tends to , the compounded amount is .

.



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