Recent content by mrs.malfoy

  1. M

    Proving Symmetric Continuity of a Function at X0

    A function f is said to be symmetrically continuous at X0 if lim [f(X0 + h) - f(X0 - h)]= 0 h-> 0 Show that if f is continuous at X0, it is symmetrically continuous there but not conversely.
  2. M

    Linear Independence of Sets in a Linear Space

    Let V be a linear space and u, v, w \in V. Show that if {u, v, w} is linearly independent then so is the set {u, u+v, u+v+w}
  3. M

    Finding Limit of Angle Theta in Unit Cube in R^n

    Let \theta be the angle between the diagonal of the unit cube in R^{n} and one of its axes. Find lim \theta (n) _{n\rightarrow\infty}
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