Example 1 - Find limits: (i) lim x->1 [x^3 - x^2 + 1] (ii) lim x->3

Example 1 - Chapter 13 Class 11 Limits and Derivatives - Part 2
Example 1 - Chapter 13 Class 11 Limits and Derivatives - Part 3

  1. Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2)
  2. Serial order wise

Transcript

Example 1 Find the limits: (i) ใ€–(๐‘™๐‘–๐‘š)โ”ฌ(๐‘ฅโ†’1) ใ€—โกใ€–[๐‘ฅ3โˆ’๐‘ฅ2+1]ใ€— ใ€–(๐‘™๐‘–๐‘š)โ”ฌ(๐‘ฅโ†’1) ใ€—โกใ€–[๐‘ฅ3โˆ’๐‘ฅ2+1]ใ€— Putting x = 1 = (1)3 โ€“ (1)2 + 1 = 1 โ€“ 1 + 1 = 0 + 1 = 1 Example 1 Find the limits: (ii) (๐‘™๐‘–๐‘š)โ”ฌ(๐‘ฅโ†’3)โกใ€– [๐‘ฅ(๐‘ฅ+1)]ใ€— (๐‘™๐‘–๐‘š)โ”ฌ(๐‘ฅโ†’3)โกใ€– [๐‘ฅ(๐‘ฅ+1)]ใ€— Putting x = 3 = 3 (3 + 1) = 3 (4) = 12 Example 1 Find the limits: (iii) (๐‘™๐‘–๐‘š)โ”ฌ(๐‘ฅโ†’โˆ’1)โกใ€–[1+๐‘ฅ+๐‘ฅ2+โ€ฆ..+๐‘ฅ10]ใ€— (๐‘™๐‘–๐‘š)โ”ฌ(๐‘ฅโ†’โˆ’1)โกใ€–[1+๐‘ฅ+๐‘ฅ2+โ€ฆ..+๐‘ฅ10]ใ€— Putting x = โ€“1 = 1 + (โ€“1) + (โ€“1)2 +โ€ฆโ€ฆ.+ (โ€“1)10 = 1 โ€“ 1 + 1 + โ€ฆโ€ฆ.. + 1 = 0 + 0 + 0 + โ€ฆโ€ฆ..0 = 1

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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.