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

### 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. Solution: Question 2. Solution:  Question 3. Solution: Question 4. Solution: Question 5. Solution: Question 6. Solution:  Question 7. Solution: Question 8. Solution: Question 9. Solution: Question 10. Solution:   Question 11. Solution: 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.
Solution:  ### Samacheer Kalvi 12th Maths Solutions Chapter 7 Applications of Differential Calculus Ex 7.5 Additional Problems

Question 1. Solution: Note that here l’Hopital’s rule, applied yields the result

Question 2. Solution:   Question 3. Solution: Question 4. Solution: Question 5. Solution:  Question 6. Solution:  