Emetophobia Frank M. Datillio's clinical case study, a situation where anorexia results from emetophobia is mentioned. Datillio says, "...in one particular case report, atypical anorexia in several adolescent females occurred as a result of a fear of vomiting that followed a viral illness as opposed to the specific desire to lose weight or because of an anxiety reaction." In cases such as this, many emetophobes may also have avoidant/restrictive food intake disorder (ARFID), which is characterized by a general disinterest in food, sensory issues with food (taste, texture, look, smell) or a fear of adverse consequences from eating (vomiting or choking).
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"