Chapter 5 Continuity and Differentiability

Notes

Nature of Chapter:-

These two topics are purely definition based. No multiple concept are there.

You should be very good at G.I.F as it's used in most of the questions in these topics.

You should be knowing std formats of limits, before starting this chapter.

Question will be more difficult by involving better limits concept or by lengthy calculation or by involving G.I.F.

→ Continuity at a point

→ Continuity of Composite functions

→ Continuity in an Interval.

→ Types of discontinuity

→ Intermediate Value theorem.

→ L.H.D and R.H.D at x = a.

→ Differentiability at a point

→ Differentiability in an Interval.

→ Critical topics

 G.I.F and limits/definitions