# (a) In Example 2 choose a sequence of values of C that increases beyond bound, and compare the corresponding sequences of eigenvalues of A. What limits of these sequences do your numeric values (approximately) suggest?(b) Find these limits analytically.(c) Explain your result physically.(d) Below what value (approximately) must you decrease C to get vibrations?

Chapter 4, P R O B L E M S E T 4 . 1 #15

(a) In Example 2 choose a sequence of values of C that increases beyond bound, and compare the corresponding sequences of eigenvalues of A. What limits of these sequences do your numeric values (approximately) suggest?

(b) Find these limits analytically.

(c) Explain your result physically.

(d) Below what value (approximately) must you decrease C to get vibrations?

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