Let f: A R and let c be a cluster point of A. If f(x)→0 as x c and (a,) is a sequence in A converging to c such that a, c for n > 45 then converges to o F(a,)) .a o converges to O if and only if a, z c for all n (F(a,)) .b O f(c)= 0 If (F(a,)))) may not converge to O but .c O none of the given choices is correct .d O
Let f: A R and let c be a cluster point of A. If f(x)→0 as x c and (a,) is a sequence in A converging to c such that a, c for n > 45 then converges to o F(a,)) .a o converges to O if and only if a, z c for all n (F(a,)) .b O f(c)= 0 If (F(a,)))) may not converge to O but .c O none of the given choices is correct .d O
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let f: A R and let c be a cluster point of A. If f(x)-0 as xc and (a,) is
a sequence in A converging to c such that a, c for n > 45 then
converges to 0 (F(a,)) .a O
converges to O if and only if a, z c for all n (F(a,)) .b O
f(c)= 0 If (F(a,)))) may not converge to O but
none of the given choices is correct
.d O
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