Outline of Contents
Target Audience: High School Students, College Freshmen and Sophomores, students preparing for the International Baccalaureate (IB), AP Calculus AB, AP Calculus BC, A Level, Singapore/GCE ALevel; Class 11/12 students in India preparing for ISC/CBSE and Entrance Examinations like the IITJEE/AIEEE Anyone else who needs this Tutorial as a reference!
More advanced cases of evaluating limits, conditions for continuity of functions, common approximations used while evaluating limits for ln ( 1 + x ), sin (x); continuity related problems for more advanced functions than the ones in the first group of problems (in the last tutorial).
Finding the values of 'x' for which a given function is continuous. Limits involving change of variables. Determining whether given functions are continuous at specified points. Limits involving approximations and series expansions.
Limits involving polynomials of 'x' in the numerator and denominator; limits involving series expansions, trigonometric, exponential and logarithmic functions. Coverage 0/0 and Infinity/Infinity kinds of limits.
... apart from this, we will also find the limits for a lot more interesting functions and we will also learn to apply L'Hospital's rule.
MCQ Quiz on Single Variable Calculus mainly focused on Functions, Limits, Continuity Set 2
Companion MCQ Quiz for Functions, Limits, Continuity #2  test how much you know about the topic. Your score will be emailed to you at the address you provide.
MCQ QuizGoogle Spreadsheet Form
Other Calculus Tutorials
Quick and introductory definitions related to Funtions, Limits and Continuity
Functions, Limits and Continuity  Solved Problem Set I  The Domain, Range, Plots and Graphs of Functions; L'Hospital's Rule
Functions, Limits and Continuity  Solved Problem Set II  Conditions for Continuity, More Limits, Approximations for ln (1+x) and sin x for infinitesimal values of x
Functions, Limits and Continuity  Solved Problem Set III  Continuity and Intermediate Value Theorems
Introductory concepts and definitions related to Differentiation  Basic formulas, Successive Differentiation, Leibnitz, Rolle and Lagrange Theorems, Maxima , Minima, Convexity, Concavity, etc
Differential Calculus  Solved Problem Set I  Common Exponential, Log , trigonometric and polynomial functions
Differential Calculus  Solved Problem Set II  Derivability and continuity of functins  Change of Indepndent Variables  Finding Nth Derivatives 
Differential Calculus  Solved Problems Set III Maximia, Minima, Extreme Values, Rolle's Theorem
Differential Calculus  Solved Problems Set IV  Points of Inflexion, Radius of Curvature, Curve Sketching
Differential Calculus  Solved Problems Set V  Curve Sketching, Parametric Curves

Introducing Integral Calculus  Definite and Indefinite Integrals  using Substitution , Integration By Parts, ILATE rule
Integral Calculus  Solved Problems Set I  Basic examples of polynomials and trigonometric functions, area under curves
Integral Calculus  Solved Problems Set II  More integrals, functions involving trigonometric and inverse trigonometric ratios
Integral Calculus  Solved Problems Set III  Reduction Formulas, Using Partial FractionsI
Integral Calculus  Solved Problems Set IV  More of integration using partial fractions, more complex substitutions and transformations
Integral Calculus  Solved Problems Set V Integration as a summation of a series
Introduction to Differential Equations and Solved Problems  Set I  Order and Degree, Linear and NonLinear Differential Equations, Homogeneous Equations, Integrating Factor
Differential Equations  Solved Problems  Set II  D operator, auxillary equation, General Solution
Differential Equations  Solved Problems  Set III  More Differential Equations
Differential Equations  Solved Problems  Set IV

