Let f: A R and f is continuous at some cluster point c EA. If (x,) and (y,) are two sequences in A converging to C, such that f(x,) f(y,) for all n EA, which of the following sequences diverge: O a. All the given sequences converge. Ob. f(x,)-f,) +1 O c. (f(x,)-f(y,)) O d. (f(x,)-f(yn))

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let f: A R and f is continuous at some cluster point c EA. If (x,) and (y,) are two sequences in A converging to C, such that
f(x,)+ fy,) for all n EA, which of the following sequences diverge:
O a.
All the given sequences converge.
Ob.
f(x,)-f(vn)
O c.
(f(x,)-f(y,)
O d.
1
f(x,)-f(yn))
Transcribed Image Text:Let f: A R and f is continuous at some cluster point c EA. If (x,) and (y,) are two sequences in A converging to C, such that f(x,)+ fy,) for all n EA, which of the following sequences diverge: O a. All the given sequences converge. Ob. f(x,)-f(vn) O c. (f(x,)-f(y,) O d. 1 f(x,)-f(yn))
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