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Example 1 - Find limits: lim x->1 [x3 - x2 + 1] - Class 11 - Limits - Defination

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  1. Chapter 13 Class 11 Limits and Derivatives
  2. Serial order wise
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Example, 1 Find the limits: (i) lim﷮x→1﷯﷮[x3−x2+1]﷯ lim﷮x→1﷯﷮[x3−x2+1]﷯ Putting x = 1 = (1)3 – (1)2 + 1 = 1 – 1 + 1 = 0 + 1 = 1 Example, 1 Find the limits: (ii) lim﷮x→3﷯﷮[x(x+1)]﷯ lim﷮x→3﷯﷮ [x(x+1)]﷯ Putting x = 3 = 3 (3 + 1) = 3 (4) = 12 Example, 1 Find the limits: (iii) lim﷮x→−1﷯﷮[1+x+x2+…..+x10]﷯ lim﷮x→−1﷯﷮[1+x+x2+…..+x10]﷯ Putting x = –1 = 1 + ( – 1) + ( – 1)2 +…….+ ( – 1)10 = 1 – 1 + 1 – 1 + …….. + 1 = 0 + 0 + 0 + ……..0 + 1 = 1

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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