2. Right-angled triangles are constructed as in the figure below. Each triangle has height 1 and its base is the hypotenuse of the preceding triangle. Show that this sequence of triangles makes indefinitely many turns around P by showing that On is a divergent series. 1 1 1 03 02 1 P 1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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2. Right-angled triangles are constructed as in
the figure below. Each triangle has height 1
and its base is the hypotenuse of the
preceding triangle. Show that this sequence of
triangles makes indefinitely many turns around
P by showing that 0n is a divergent series.
1
1
1
03
02,
1
P
1
Transcribed Image Text:2. Right-angled triangles are constructed as in the figure below. Each triangle has height 1 and its base is the hypotenuse of the preceding triangle. Show that this sequence of triangles makes indefinitely many turns around P by showing that 0n is a divergent series. 1 1 1 03 02, 1 P 1
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