# Example 2 (iv) - Chapter 12 Class 11 Limits and Derivatives

Last updated at April 16, 2024 by Teachoo

Examples

Example 1 (i)

Example 1 (ii)

Example 1 (iii)

Example 2 (i)

Example 2 (ii) Important

Example 2 (iii) Important

Example 2 (iv) You are here

Example 2 (v)

Example 3 (i) Important

Example 3 (ii) Important

Example 4 (i)

Example 4 (ii) Important

Example 5

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Example 8

Example 9

Example 10 Important

Example 11

Example 12

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Example 14

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Example 16

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Example 18

Example 19 (i) Important

Example 19 (ii)

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Example 20 (ii) Important

Example 21 (i)

Example 21 (ii) Important

Example 22 (i)

Example 22 (ii) Important

Last updated at April 16, 2024 by Teachoo

Example 2 Find the limits: (iv) limβ¬(xβ2) [(x3 β2π₯2)/(x2β5x+6)] limβ¬(xβ2) [(x3 β 2π₯2)/(x2 β 5x + 6)] = limβ¬(xβ2) ((x2 (x β 2))/(π₯2 β 3π₯ β 2π₯ + 6)) = limβ¬(xβ2) ((x2 (x β 2))/(x (x β 3) β 2 (x β 3) )) = limβ¬(xβ2) ((x2 (x β 2))/((x β 2) (x β 3) )) = (π₯π’π¦)β¬(π±βπ) ((π±π )/((π± β π) )) Putting x = 2 = (2)2/(2 β 3) = (2)2/(2 β 3) = 4/(β1) = β 4