Science and Education Publishing American Journal of Educational Research 2327-6150 3 12B 2015 12 19 Some Methodical Aspects of Studying Limits of Sequences 16 19 EN Bosovskyi Mykola Bochko Oksana Bohdan Khmelnytskyy National University of Cherkasy, Cherkasy, Ukraine Tretyak Mykola EDUCATION2015312B4 10.12691/education-3-12B-4 2015 7 19 2015 10 5 2015 12 17 The article describes methods of studying the limits of sequences and theorems of the limits of the sequences. Aspects of studying the limits of the sequence, an offered roll-out of "Limit of the sequence" theme and the study of the basic theorems on the limits of sum, product and quotient of two sequences have been developed. Theoretical generalization has been performed and a new approach in the introduction and study of uncertainties as statements that complement the theorems has been suggested.