This book has no unsolved questions. All the questions are solved and given as examples.
Click here to purchase Spectrum book. 
 
 
Syllabus 2020 - 2021 
 
Unit-I 
Properties of real numbers : Order property of real numbers, bounds, l.u.b. and g.l.b. order completeness property of real numbers,archimedian property of real numbers. Limits: ε-δdefinition of the limit of a function, basic properties of limits, infinite limits, indeterminate forms. Continuity: Continuous functions, types of discontinuities, continuity of composite functions, continuity of( )f x, sign of a function in a neighborhood of a point of continuity, intermediate value theorem, maximum and minimumvalue theorem.
Unit-II 
Mean value theorems: Rolle’s Theorem, Lagrange’s mean value theorem, Cauchy’s mean value theorem, their geometric interpretation and applications, Taylor’s theorem, Maclaurin’s theorem with various form of remainders and their applications. Hyperbolic, inverse hyperbolic functions of a real variable and their derivatives, successive differentiations, Leibnitz’s theorem