Recent content by gymko

  1. G

    WHY lim{x-> infinity} f(x)/x = infinity => lim{x-> infinity} f(x) = infinity ?

    Homework Statement Why is it? lim{x-> infinity} f(x)/x = infinity => lim{x-> infinity} f(x) = infinity What is evidence? Thank you very much.
  2. G

    Show that arcsin is the inverse of sin

    Thank you very much for all. :)
  3. G

    Show that arcsin is the inverse of sin

    My question is: why arcsin(sin(x)) is possible to regulate for x. Why arcsin(sin(x)) = x? Why graph for y = arcsin(sin(x)) is y = x? Thank you.
  4. G

    Show that arcsin is the inverse of sin

    Homework Statement I have a problem, I don't know to substantiate, why arcsin(sin(x)) = sin(arcsin(x)) = x ? Thank you very much for each advice. Homework Equations The Attempt at a Solution