Semoga Allah membalas kebaikanmu dan dimudahku segala urusanmu

Semoga Allah membalas kebaikanmu dan dimudahku segala urusanmu

Aturan L'Hopital

$lim_{x to 2} frac{2 {x}^{2} - 8 }{ sqrt{x} - sqrt{2} } \ \ = lim_{x to 2} frac{ frac{d}{dx} (2 {x}^{2} - 8)}{ frac{d}{dx} ( sqrt{x}) - frac{d}{dx} ( sqrt{2} )} \ \ = lim_{x to 2} frac{4x}{ frac{1}{2 sqrt{x} } } \ \ = lim_{x to 2} : (8x sqrt{x} ) \ \ = 8(2) sqrt{2} \ \ = 16 sqrt{2}$

Jawaban E