Exercise 14 Page 456

We want to find a counterexample that proves the given conjecture false. We can describe the conjecture with the following inequality. n+1/n>1 Notice that the fraction's numerator is always going to be 1 greater than the denominator. Does this mean the fraction is always greater than 1? No! If n= - 1 the numerator will be 0, which gives a quotient of 0. - 1+1/- 1=0/- 1=0 Since 0<1, we have found a counterexample that proves the conjecture false.