Let (c,) be a sequence converging to 3 with c,, 23 for all n. Which of the following conditions guarantees that (x,) is a convergent sequence? O a. |x,+2-Xn+1| < (cn-3)|x,+1- x,\ for all n o b. |x,+2-Xn+1| < (G„)]x,+1=x,] for all n O c. |x, +2-X,+1| < (5/c,)\x, +1=x,| for all n d. none of the listed conditions

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let (c,) be a sequence converging to 3 with c,n 23 for all n.
following conditions guarantees that (x,) is a convergent sequence?
Which of the
a. x,+2-Xn+1\ < (Gn- 3)|x,+1¬Xnl for all n
b. x, +2- X, +1l s (c,)|x, +1=xn] for all n
O c. |x,+2-X,+1| < (5/c,)|x, +1-x,] for all n
'n+2
in +1
d.
none
listed conditions
Question 14
Incorrect
Transcribed Image Text:Let (c,) be a sequence converging to 3 with c,n 23 for all n. following conditions guarantees that (x,) is a convergent sequence? Which of the a. x,+2-Xn+1\ < (Gn- 3)|x,+1¬Xnl for all n b. x, +2- X, +1l s (c,)|x, +1=xn] for all n O c. |x,+2-X,+1| < (5/c,)|x, +1-x,] for all n 'n+2 in +1 d. none listed conditions Question 14 Incorrect
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