Read and download NCERT Class 11 Maths Infinite Series chapter in NCERT book for Class 11 Mathematics. You can download latest NCERT eBooks for 2022 chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 11 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 11 Mathematics to understand the answers of the exercise questions given at the end of this chapter

## Infinite Series Class 11 Mathematics NCERT

Class 11 Mathematics students should refer to the following NCERT Book chapter Infinite Series in standard 11. This NCERT Book for Grade 11 Mathematics will be very useful for exams and help you to score good marks

### Infinite Series NCERT Class 11

As discussed in the Chapter 9 on Sequences and Series, a sequence a_{1}, a_{2}, ..., a_{n}, ... having infinite number of terms is called infinite sequence and its indicated sum, i.e., a_{1} + a_{2} + a_{3} + ... + an + ... is called an infinte series associated with infinite sequence. This series can also be expressed in abbreviated form using the sigma notation, i.e.,

In this Chapter, we shall study about some special types of series which may be required in different problem situations. A.1.2 Binomial Theorem for any Index

In Chapter 8, we discussed the Binomial Theorem in which the index was a positive integer. In this Section, we state a more general form of the theorem in which the index is not necessarily a whole number. It gives us a particular type of infinite series, called Binomial Series. We illustrate few applications, by examples. We know the formula

n is non-negative integer. Observe that if we replace index n by negative integer or a fraction, then the combinations C n r do not make any sense. We now state (without proof), the Binomial Theorem, giving an infinite series in which the index is negative or a fraction and not a whole number. Theorem The formula

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