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Example 3 (ii) - Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
Last updated at Sept. 6, 2021 by Teachoo
Transcript
Example 3 Evaluate: (ii) (๐๐๐)โฌ(๐ฅโ0) (โ(1 + ๐ฅ) โ 1)/๐ฅ (๐๐๐)โฌ(๐ฅโ0) (โ(1 + x )โ 1)/x Putting x = 0 = (โ(1 + 0) โ 1)/0 = (โ(1 ) โ 1)/0 = (1 โ 1)/0 = 0/0 Since it is a 0/0 form We simplify the equation Putting y = 1 + x โ y โ 1 = x As x โ 0 y โ 1 + 0 y โ 1 So, our equation becomes (๐๐๐)โฌ(๐ฅโ0) (โ(1 + ๐ฅ )โ 1)/๐ฅ = (๐๐๐)โฌ(๐ฆโ1) (โ๐ฆ โ 1)/(๐ฆ โ 1) = (๐๐๐)โฌ(๐ฅโ1) ( ๐ฆ^((โ1)/2) โ 1)/(๐ฆ โ 1) = (๐๐๐)โฌ(๐ฅโ1) ( ๐ฆ^((โ1)/2) โ 1^((โ1)/2))/(๐ฆ โ 1) = 1/2 ร 1^((โ1)/2 โ 1) = 1/2 ร 1 = ๐/๐
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Examples (Term 1 and Term 2)
Example 1 (i)
Example 1 (ii)
Example 1 (iii)
Example 2 (i)
Example 2 (ii) Important
Example 2 (iii) Important
Example 2 (iv)
Example 2 (v)
Example 3 (i) Important
Example 3 (ii) Important You are here
Example 4 (i)
Example 4 (ii) Important
Example 5
Example 6
Example 7 Important
Example 8
Example 9
Example 10 Important
Example 11
Example 12
Example 13 Important
Example 14
Example 15 Important
Example 16
Example 17 Important
Example 18
Example 19 (i) Important
Example 19 (ii)
Example 20 (i)
Example 20 (ii) Important
Example 21 (i)
Example 21 (ii) Important
Example 22 (i)
Example 22 (ii) 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.