Books on continuity(need very much)

Question

Suggest books,which are full of limit and continuity solved problems,in undergraduate level.(real analysis)

Answer 1

Walter Rudin's mathematical analysis Also Thomas Calculus

Answer 2

For introductory real analysis Numbers and Functions: Steps into Analysis by R. P. Burn.

For real and complex analysis from the metric space point of view A Second Course In Mathematical Analysis by J. C. Burkill.

Both books come with solutions to almost every exercise.

Disclaimer: I am in the process of reading Burn's book and recommend Burkill's book based on Burn's recommendation of it in the bibliography.