The cocky exponential function e x is strolling along the road insulting the functions he sees walking by. He scoffs at a wandering polynomial for the shortness of its Taylor series. He snickers at a passing smooth function of compact support and its glaring lack of a convergent power series about many of its points. He positively laughs as he passes |x| for being nondifferentiable at the origin. He smiles, thinking to himself, “Damn, it’s great to be e x . I’m real analytic everywhere. I’m my own derivative. I blow up faster than anybody and shrink faster too. All the other functions suck.”Lost in his own egomania, he collides with the constant function 3, who is running in terror in the opposite direction. “What’s wrong with you? Why don’t you look where you’re going?” demands e x . He then sees the fear in 3’s eyes and says “You look terrified!” “I am!” says the panicky 3. “There’s a differential operator just around the corner. If he differentiates me, I’ll be reduced to nothing! ...
n life as i walk on em