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

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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.

Question 1.

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Question 2.

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Question 3.

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Question 4.

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Question 5.

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Question 6.

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Question 7.

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Question 8.

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Question 9.

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Question 10.

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Question 11.

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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 = A₀e^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

Question 2.

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Question 3.

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Question 4.

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Question 5.

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Question 6.

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