Extension: Proving the 0/0 Case of L'Hopital

Explanations 2

• Let f(x)f(x)f(x) and g(x)g(x)g(x) be continuous differentiable functions that satisfy f(a)=g(a)=0f(a)=g(a)=0f(a)=g(a)=0. Then lim⁡x→af(x)g(x)=lim⁡x→af′(x)g′(x)\lim_{x\to a}\frac…

  By Tim Ratigan

• L'Hospital's rule provides a method for finding limits for expressions that would otherwise be impossible to calculate. The most basic form of the rule says that if f(x)f(x)f(x)…

  By Alexander Mason, Ahaan Rungta, Rogers Epstein, Alex Federspiel