Question: To help me understand a book problem This is Differential Geometry explain and solve make sure the answer is correct 11. Show that the curve

To help me understand a book problem This is Differential Geometry explain and solve make sure the answer is correct

11. Show that the curve a (t) = (t, t sin(x/ t)), 1 0 has infinite length on [0, 1]. (Hint: Consider (0, 0), 1 = 0 ((a, PN ) with PN = (0, 1/N. 2/(2N - 1), 1/(N - 1). . . ., 1/2,2/3, 1}.)

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