Example 2 (ii) - Chapter 12 Class 11 Limits and Derivatives
Last updated at Dec. 16, 2024 by Teachoo
Examples
Example 1 (i)
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Transcript
Example 2 Find the limits: (ii) (πππ)β¬(π₯β2) [(π₯^3 β 4π₯^2 + 4π₯)/(π₯^2 β 4)] (πππ)β¬(π₯β2) [(π₯^3 β 4π₯^2 + 4π₯)/(π₯^2 β 4)] = limβ¬(xβ2) π₯(π₯^2 β 4π₯ + 4)/(π₯^2 βγ (2)γ^2 ) = limβ¬(xβ2) (π₯ (π₯^2 + 2^2 β 4π₯ ))/((π₯ β 2) (π₯ + 2)) = limβ¬(xβ2) (π₯ (π₯ β 2)^2)/((π₯ β 2) (π₯ + 2)) = (πππ)β¬(πβπ) π(π β π)/(π + π) Putting x = 2 = (2 (2 β 2))/(2 + 2) = (2 (0))/4 = 0/4 = 0
