This is my first time posting, so I apologize in advance if my question is inappropriate here. I wanted to know if it would be beneficial for me to review certain calculus topics before I take my first real analysis course. I have noticed that some calculus topics are involved in real analysis courses (e.g. sequences, series, definition of limit). If this is true, then what calculus topics would be helpful to review? If this is not the case, what self-study methods would most likely benefit me before I journey into proof-based math?
EDIT: I am completely new to proof-based math, so I am looking for a couple of self-study suggestions that would likely prepare me well for the rigor of real analysis. By self-study suggestions, I mean reviewing certain calculus topics (if it would be helpful), and/or certain titles of books, etc.
Certainly, a solid understanding of limits would help.
By this, I don't just mean that you can look at $\lim_{x\rightarrow 1}(x^2-1)/(x-1)$ and be able to compute the answer. I mean that you have a picture in mind, understand how the $\varepsilon\mbox{-}\delta$ language relates to that picture and (ideally) are able to write down the $\varepsilon\mbox{-}\delta$ proof.
Beyond that, maybe the way you think about calculus is more important than the topics (which are pretty standardized) that you know. For example, when you look at the equation $x^3-x-1=0$ do you think purely algebraically? Or do you think in terms of a picture? Can you tie that picture to theorems, such as the intermediate value theorem?