The present book Sure Success in Convergence covers extensively all the elementary principles and fundamental concepts of Convergence and Divergence of Infinite Series as well as Infinite Products. It is primarily designed as a textbook for the benefit of students of B.Sc. and B.A. It aims at providing a systematic, logical and interesting approach to the subject so that even a student with average mathematical skill may easily understand it. The style of the book is simple and lucid. Sufficient number of well-graded solved examples have been provided at the end of each chapter for easy grasp of the subject. Besides acquainting the students with the type of questions usually set at university and competitive examinations, these examples facilitate quick revision for examination purposes. It is hoped that a thorough study of this book will bring brilliant success to the students of Mathematics. Even teachers of this subject would find it equally useful in elucidating the concepts for the students.