Exercises 49 and 50 use L’Hôpital’s rule from calculus.
50. a. Let b be any real number greater than 1. Use L’Hôpital’s rule to prove that for every integer
b. Use the result of part (a) and the definitions of limit and of O-notation to prove that
(a)
To prove: Use
Given information:
Let b be any real number greater than 1.
Proof:
Let n be a positive integer and let b be a real number greater than 1.
(b)
Use the result of part (a) and the definitions of limit andof O -notation to prove that