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Card 7 / 7:
L’Hôpital’s rule
if f and g are differentiable functions over an interval a , except possibly at a , and lim x → a f ( x ) = 0 = lim x → a g ( x ) or lim x → a f ( x ) and lim x → a g ( x ) are infinite, then lim x → a f ( x ) g ( x ) = lim x → a f ′ ( x ) g ′ ( x ) , assuming the limit on the right exists or is ∞ or − ∞
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