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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.
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  • $\begingroup$ Thank you very much for these great links! I am not really good at searching on this forum and this is why I was unaware that these topics already existed. $\endgroup$ – user69503 Nov 18 '18 at 13:38

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