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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 A0 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 = A0ert.
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Samacheer Kalvi 12th Maths Solutions Chapter 7 Applications of Differential Calculus Ex 7.5 Additional Problems
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Note that here l’Hopital’s rule, applied yields the result
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