Machine Learning, Data Science, Artificial Intelligence.
for every 𝜖>0, there exists a 𝛿> such that This means the image of the open ball of radius 𝛿 around 𝑎 is contained within the open ball of radius ϵ around 𝑓(𝑎), ensuring that small changes in the domain near a lead to small changes in the image at f(a). A function f is continuous on its entire