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### Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 7 Applications of Differential Calculus Ex 7.5

Evaluate the following limits, if necessary use l’Hopital Rule.

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Question 12.

If an initial amount A_{0} of money is invested at an interest rate r compounded n times a year, the value of the investment after t years is . If the interest is compounded continuously, (that is as n ➝ ∞), show that the amount after t years is A = A_{0}e^{rt}.

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### Samacheer Kalvi 12th Maths Solutions Chapter 7 Applications of Differential Calculus Ex 7.5 Additional Problems

Question 1.

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Note that here l’Hopital’s rule, applied yields the result

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