The Weierstrass function is differentiable nowhere but has this property everywhere.
A function f has this property at x for some x in the domain if for any neighborhood U of f(x), there is a neighborhood V of x such that f(V) = U. The Weierstrass function is differentiable nowhere but has this property everywhere. Cauchy gives this condition for a function f at a point c as the assurance that, for all epsilon greater than zero, there exists delta such that x being closer to c than delta implies that f(x) is closer to f(c) than epsilon. For 10 points, name this property that suggests a small change in a function's input results in a small change in its value, rather than a break or a jump or a hole.
A function f has this property at x for some x in the domain if for any neighborhood U of f(x), there is a neighborhood V of x
{continuous} [accept word forms]