Emetophobia activities so they avoid any situations with alcohol or dining out in restaurants. Emetophobics may also limit exposure to children for fear of germs. Females who suffer from this disorder delayed pregnancy or avoided it altogether because of the fear of morning sickness. People who have a fear of vomiting may avoid travel because of the worry about motion sickness or others experiencing it around them. They may also fear roller coasters for the same reason. Dr. Lipsitz "et al".'s findings also showed that those afflicted with emetophobia often have difficulties comfortably leading a normal life. Many find that they
Proof that e is irrational between 2 and 3: We then analyze a blown-up difference "x" of the series representing "e" and its strictly smaller partial sum, which approximates the limiting value "e". By choosing the magnifying factor to be the factorial of "b", the fraction ⁄ and the partial sum are turned into integers, hence "x" must be a positive integer. However, the fast convergence of the series representation implies that the magnified approximation error "x" is still strictly smaller than 1. From this contradiction we deduce that "e" is irrational. Suppose that "e" is a rational number. Then there exist positive integers "a"