**Chapter 5 – Continuity and Differentiability**

**LIMIT ,CONTINUITY lec 01**

1. Basic of limits

2.Graphical Analysis of limits

3. 0/0 form

4. l Hospital Rule

5. Concept of Limit Break

6. JEE Question on 0/0

**LIMIT ,CONTINUITY lec 02**

1. JEE Question on 0/0 form

2. Application of Standard limit

**LIMIT ,CONTINUITY lec 03**

1. When to change limits

2. Application of Standard limits

3. Infinite over Infinite form

4. Limit based on series

5. Limit based on Factorials

6. 0 multiply infinite form

**LIMIT ,CONTINUITY lec 0**4

1.Application of Standard limits

2. 1 to over Infinite form

3. 0 multiply infinite form

4. Application of L Hospital rule

5. JEE Question Discussion

**LIMIT ,CONTINUITY lec05**

1.Concept of Continuity

2. How to Remove Discontinuity

3. Limit in Modulus Function

4. Limit in Logarithmic and Exponential Function

**LIMIT ,CONTINUITY AND DIFFERENIABILITY lec 06**

1.Limit of form 1 to over infinite

2. Trick to solve 1 to over infinite

3. Standard limit in 1 to over infinite

4. Trick in case of Modulus function

5. Basics of Differentiability

**LIMIT ,CONTINUITY AND DIFFERENIABILITY lec 07**

1. Differentiability in Modulus Function

2. JEE question Discussion

3. Limit in Greatest Integer function

4. Approximation in case of Greatest Integer Function

**LIMIT ,CONTINUITY AND DIFFERENIABILITY lec 08**

1. Differentiability in Modulus Function

2. JEE question Discussion

3. Limit in Greatest Integer function

4. Approximation in case of Greatest Integer Function

5. Approximation in Fractional Function

6.Limits in Signum Function

**LIMIT ,CONTINUITY AND DIFFERENIABILITY lec 09**

1. Differentiability in LHL and RHL Function

2. JEE question Discussion

3. Limit in Greatest Integer function

4. Differentiability in Modulus Function

5. Approximation in Fractional Function

6.Limits in Signum Function

**Differentiation – Lec 01 – A**

1. Differentiation of single variable

2. Multiplication and division rule

3. Differentiation of Trigonometric Identity.

**Differentiation- Lec 01 – B**

1. Differentiation of inverse Trigonometric Function

2. JEE level question discussion

**Differentiation- Lec 01 – C**

1. Differentiation of inverse Trigonometric Function

2. Differentiation of Logarithmic function

3. Differentiation of variable to degree Variable

**Differentiation- Lec 02**

1. Differentiation of Logarithmic function

2. Differentiation of variable to degree Variable

3. Differentiation of Infnite series

4. Differentiation of one function with respect to other function

**Differentiation- Lec 03**

1. Differentiation of Implicit function

2. Differentiation of mixed variables

3. Mains and Advance Previous year question discussion