Question

Quick review on limits?

Answer 1

A limit can be thought of a value that a function approaches for any infinitesimally small window. For example:



If we defined this function as y = x^2/x, then the limit of this function as x approaches 0 would be 0.

Note that it doesn't matter that x = 0 is not actually defined in the function. A limit ignores whether a point is defined, but rather focuses on the behavior of the function for values closer and closer and closer ...(infinitesimally closer) to the function.

Someone more qualified could give you a formal definition of a limit.

Answer 2

closer and closer and closer to the point* I meant to say.

Answer 3

Thank you! This helped things clear up for me!