Abstract
Specific applications of definition of limit are examined and accompanied by examples and exercises. The important results, such as the theorems of the uniqueness of the limit, the permanence of the sign, the theorems of comparison, the theorem of the limit of the composite function are proved in detail. Left and right limit are defined and commented. The operations on limits and indeterminate forms are examined and directly solved. Solved problems concern limits of composite functions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Bibliography
Adams, R.A., Essex, C.: Calculus. Single variable, Pearson Education Canada, Toronto (2006)
Anton, H.: Calculus. John Wiley & Sons Inc., New York (1980)
Lax, P., Burnstein, S., Lax, A.: Calculus with Applications and Computing. Springer-Verlag, New York (1976)
Royden, H.L., Fitzpatrick, P.M.: Real Analysis. Pearson, Toronto (2010)
Spivak, M.: Calculus. Cambridge University Press (2006)
Ventre, A.: Matematica. Fondamenti e calcolo, Wolters Kluwer Italia. Milano (2021)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Ventre, A.G.S. (2023). Limits. In: Calculus and Linear Algebra. Springer, Cham. https://doi.org/10.1007/978-3-031-20549-1_18
Download citation
DOI: https://doi.org/10.1007/978-3-031-20549-1_18
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-20548-4
Online ISBN: 978-3-031-20549-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)