Exercise 1. Let {am}1 be a convergent sequence with limit L. Then use the definition of limit to prove that n=1 lim -an = -L. Now if L = 0, then use the definition of limit to prove that lim (–1)"a, = 0. %3D n00

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Chapter2: Second-order Linear Odes
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Exercise 1. Let {a,}1 be a convergent sequence with limit L. Then use the definition of
limit to prove that
00
In=1
lim -an
-L.
Now if L = 0, then use the definition of limit to prove that
lim (-1)"a, = 0.
n 00
Transcribed Image Text:Exercise 1. Let {a,}1 be a convergent sequence with limit L. Then use the definition of limit to prove that 00 In=1 lim -an -L. Now if L = 0, then use the definition of limit to prove that lim (-1)"a, = 0. n 00
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