EXERCISE 7.5

EXERCISE . Evaluate the following limits, if necessary use L’Hôpital’s Rule : . lim . lim →∞ . lim log →∞ . lim sec tan . lim →∞ . lim sin . lim → + − − . lim x x → + . lim →∞     . lim(sin ) tan → p . lim(cos ) → + . If an initial amount A of money is invested at an interest rate r compounded n times a year, the value of the investment after t years is A A nt . If the interest is compounded continuously, (that is as n →∞ ), show that the amount after t years is A A e rt