6. Suppose that V is nonempty and open in Rn and f : V ---+ R n...

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6. Suppose that V is nonempty and open in Rn and f : V ---+ R n is continuously differentiable with f). f =f. 0 on V. Prove that lim Vol (f(Br(xo))) = If). (Xo) I r-->O+ Vol (Br(xo)) f for every Xo E V.

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