What is the role of sequences in (undergraduate, engineering) calculus? Is it just there for a more gentle introduction to limits, instead of starting with limits of functions (which is actually a core topic of calculus) and as introduction to (infinite) series?
In that case my other question is: Where do squences belong? (discrete math ?)
Or, are sequences a core topic of calculus?
note: I am aksing this question with disregard whether a topic is a prerequisite for a calculus course or is covered within. eg: I would not classify trigonometric identities nor hyperbolic functions as part of calculus, even though they are needed in a calculus course for integration techniques.