![Example 1 - Find limits: (i) lim x->1 [x^3 - x^2 + 1] (ii) lim x->3](https://d1avenlh0i1xmr.cloudfront.net/865e756b-8a6d-4119-80e3-b96842ce3703/slide1.jpg)
.jpg)
Example 1 - Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
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
Examples (Term 1 and Term 2)
Example 1
You are here
Example 2 Important
Example 3 Important
Example 4
Example 5
Example 6
Example 7 Important
Example 8
Example 9
Example 10
Example 11
Example 12
Example 13
Example 14
Example 15
Example 16
Example 17 Important
Example 18
Example 19 Important
Example 20 (i) Important
Example 20 (ii)
Example 21 Important
Example 22 Important
Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
Serial order wise
- Ex 13.1 (Term 1)
- Ex 13.2 (Term 2)
-
Examples (Term 1 and Term 2)
- Miscellaneous (Term 1 and Term 2)
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.