L'Hopital's rule



Problem

L'Hopital's rule

Applet

  • Press "x-" or "x+" so that x approaches 2 in order to compare the ratio of f(x) and g(x).
  • If the value of f(x) and g(x) are too small, press "Zoom in".
  • If you press "Zoom in" more and more, the curves of f(x) and g(x) look straight.
  • The staraight lines are almost close to tangent lines of f(x) and g(x) at x=2.
  • When x approaches 2, the ratio of f(x) and g(x) is equal to the ratio of slopes of two tangent lines.

answer