I am in the 11th grade in a country where single variable calculus is required in maths competitions starting from the 11th grade. I am currently looking for a good book that covers the following topics:
- limits of sequences and functions (stuff like the squeeze theorem,Stolz-Cesaro lemma,L'Hôpital's rule etc);
- continuous functions;
- the intermediate value property,the mean value theorem,the intermediate value theorem and others like these;
- differentiable functions,convexity,concavity etc.
My problem is that most of the books I have found are targetted at undergraduate students and don't really focus so much on the topics I need.This is why I need your help to find a book suitable for me.