極限の一覧
lim x → c f ( x ) g ( x ) = lim x → c f ′ ( x ) g ′ ( x ) if lim x → c f ( x ) = lim x → c g ( x ) = 0 or lim x → c | g ( x ) | = + ∞ {\displaystyle \lim _{x\to c}{\frac {f(x)}{g(x)}}=\lim _{x\to c}{\frac {f'(x)}{g'(x)}}\qquad {\mbox{ if }}\lim _{x\to c}f(x)=\lim _{x\to c}g(x)=0{\mbox{ or }}\lim _{x\to c}|g(x)|=+\infty } (ロピタルの定理)