# Example 1 - Chapter 13 Class 11 Limits and Derivatives

Last updated at Nov. 30, 2019 by Teachoo

Last updated at Nov. 30, 2019 by Teachoo

Transcript

Example 1 Find the limits: (i) ใ(๐๐๐)โฌ(๐ฅโ1) ใโกใ[๐ฅ3โ๐ฅ2+1]ใ ใ(๐๐๐)โฌ(๐ฅโ1) ใโกใ[๐ฅ3โ๐ฅ2+1]ใ Putting x = 1 = (1)3 โ (1)2 + 1 = 1 โ 1 + 1 = 0 + 1 = 1 Example 1 Find the limits: (ii) (๐๐๐)โฌ(๐ฅโ3)โกใ [๐ฅ(๐ฅ+1)]ใ (๐๐๐)โฌ(๐ฅโ3)โกใ [๐ฅ(๐ฅ+1)]ใ Putting x = 3 = 3 (3 + 1) = 3 (4) = 12 Example 1 Find the limits: (iii) (๐๐๐)โฌ(๐ฅโโ1)โกใ[1+๐ฅ+๐ฅ2+โฆ..+๐ฅ10]ใ (๐๐๐)โฌ(๐ฅโโ1)โกใ[1+๐ฅ+๐ฅ2+โฆ..+๐ฅ10]ใ Putting x = โ1 = 1 + (โ1) + (โ1)2 +โฆโฆ.+ (โ1)10 = 1 โ 1 + 1 + โฆโฆ.. + 1 = 0 + 0 + 0 + โฆโฆ..0 = 1

Chapter 13 Class 11 Limits and Derivatives

Concept wise

- Limits - Definition
- Limits - 0/0 form
- Limits - x^n formula
- Limits - Of Trignometric functions
- Limits - Limit exists
- Derivatives by 1st principle - At a point
- Derivatives by 1st principle - At a general point
- Derivatives by formula - x^n formula
- Derivatives by formula - sin & cos
- Derivatives by formula - other trignometric

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.