lim x→0− (sec x − 1) / x ^3?

compute the following limit if it exist.

1 Answer

Relevance
  • 2 months ago

    Use L'Hopital's rule:

    lim (secx - 1)/x^3 =

    x->0-

    lim secx tanx/3x^2 = ...use L'Hopital's rule again

    x-> 0-

    lim (sec^2x tanx + sec^3x)/6x = -∞

    x-> 0-

Still have questions? Get your answers by asking now.