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You are here: Home Test Department Heildunarreglur Regla l'Hopital l'Hopital 1

Examples - l'Hopital 1

Dæmi:
  1. $\displaystyle \lim_{x\to 1} \frac{x^3 -1}{4x^3 - x - 3} = \frac{3x^2\big\vert _{x=1}}{12x^2 - 1\big\vert _{x=1}} = \frac{3}{12-1} = \frac{3}{11}
$

  2. $\displaystyle \lim_{x\to 0} \frac{\ln(1+x)}{x} = \frac{\frac{1}{1+x}\Big\vert _{x=0}}{1} = 1
$



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