Ex 13.1, 7 - Evaluate lim x->2 3x2 - x - 10 / x2 - 4 - Limits - 0/0 form

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  1. Chapter 13 Class 11 Limits and Derivatives
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Ex 13.1, 7 Evaluate the Given limit: lim x 2 3x2 x 10 x2 4 lim x 2 3x2 x 10 x2 4 = 3 2 2 2 10 2 2 4 = 3 4 2 10 4 4 = 12 12 4 4 = 0 0 Since it is of form 0 0 , we simplify as lim x 2 3x2 x 10 x2 4 = lim x 2 3x2+ 5x 6x 10 x2 4 lim x 2 3x2 x 10 x2 4 = lim x 2 3x2+ 5x 6x 10 x2 4 = lim x 2 x 3x + 5 2 (3x + 5) x2 2 2 = lim x 2 2 (3 + 5) x 2 ( + 2) = + + = 3 2 + 5 2 + 2 = 6 + 5 4 =

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