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Ex 13.1, 12 - Evaluate: lim x->-2 1/x + 1/2 / x+2 - Class 11 - Limits - 0/0 form

  1. Chapter 13 Class 11 Limits and Derivatives
  2. Serial order wise
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Transcript

Ex 13.1, 12 Evaluate the Given limit: lim﷮x→−2﷯ 1﷮x﷯ + 1﷮2﷯﷮x + 2﷯ lim﷮x→−2﷯ 1﷮x﷯ + 1﷮2﷯﷮x + 2﷯ At x = –2, the value of the given function takes the form 0﷮0﷯ . So, simplifying lim﷮x→−2﷯ 1﷮x﷯ + 1﷮2﷯﷮x + 2﷯ = lim﷮x→−2﷯ 2 + x﷮2x﷯﷯﷮x + 2﷯ = 𝐥𝐢𝐦﷮𝐱→−𝟐﷯ 𝟏﷮𝟐𝐱﷯ Putting x = – 2 = 1﷮2(−2)﷯ = −𝟏﷮𝟒﷯

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