Pointwise continuity refers to the property of a function where, for each point in its domain, the function is continuous at that point. This means that for every point 'c' in the domain, if we take values of the function near 'c', they will get arbitrarily close to the function's value at 'c' as we approach that point. This concept plays a critical role when comparing different types of continuity, particularly when contrasting it with uniform continuity, where continuity is measured over the entire domain rather than at individual points.
congrats on reading the definition of Pointwise Continuity. now let's actually learn it.