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Utility function: u(x1, x2) = (x1 * x2)/ (x1+x2) u(x1, x2) = ln (x1^2 + x2^2) The preferences represented by this utility functions strictly convex

Utility function:

  1. u(x1, x2) = (x1 * x2)/ (x1+x2)
  2. u(x1, x2) = ln (x1^2 + x2^2)

The preferences represented by this utility functions strictly convex or strictly monotonic?

Thanks for your help.

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