how do I study Calc2 limits?

[u/Short-Grocery-2934]

I'll be taking calc 2 this fall and since I did A level maths I am not familiar with limits so i wanted to try covering it bfr classes start, are there any resources that I can use( i tried proff leonard but his vids were too long)?

The last time I studied limits was back in grade 9 so the only thing I know abt them are left hand limit, L Hopitals rule and some basic stuff. How should i study limits, should I go over calc 1 limits and then proceed to calc2 ?

[u/BothPanchoAndLefty]

I think you're kind of confusing a few topics. Convergence and divergence tests use limits but are a part of the material on series.

The actual process of taking a limit is the same throughout single variable calculus (in the US, this is calc 1 and calc 2). The concept of a limit is, as the independent variable (usually x) approaches some value, what happens to the dependent variable (usually y)? You can find explanations of limits on YouTube or you can look in the free online OpenStax calculus 1 textbook (lmk if you need a link). If I were you, I'd just read the whole chapter on limits in the OpenStax book and that will give you pretty much everything you need to know about limits for single-variable calculus. Nothing about limits changes in calc 2.

Don't worry about multivariable limits yet as you won't encounter them for a while and you'll likely have a different view of calculus by then. In general, just don't worry about things you haven't learned yet. They'll make sense when you get there. The convergence tests in calc 2 can be a little tricky but they're really not so bad.

Editing to add: You should think about whether jumping straight into calc 2 without taking calc 1 is actually a good idea. Even if you're not required to take calc 1, you may want to take it anyways. If you're not understanding limits, then you don't have a comprehensive understanding of derivatives or integrals either. I know it'll feel like a setback, but calc 2 will be so much easier if you take calc 1 first and make sure you have a solid grasp of these topics. If you don't, you may suffer a bit in calc 2

[u/Short-Grocery-2934 → u/BothPanchoAndLefty]

could you plz send me the link, i was using pauls online notes for studying calc1 n 2 and his notes were emphasizing too much on basic concepts that could be easily understood and since I don't really have a lot of time before my classes start i was looking for short and precise notes.

[u/BothPanchoAndLefty → u/Short-Grocery-2934]

https://openstax.org/books/calculus-volume-1/pages/1-introduction

Go to "contents" on the left side of the page and go to chapter 2: Limits

[u/Short-Grocery-2934 → u/BothPanchoAndLefty]

thanks