1. Use the definition of sequence convergence to prove the following statement. Let (a,), (b,), (c) be sequences of real numbers such that a,n Sb, Sen for all n E N. If lim an = lim Cn =bER, then lim, b, = b. %3D 401 %3D

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Chapter1: Functions And Models
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1. Use the definition of sequence convergence to prove the following statement.
Let (a,), (b,), (cn) be sequences of real numbers such that a,n s b, S en for all n e N.
If lim,- an = lim,- Cn = bE R, then lim,,- bn
= b.
401
Transcribed Image Text:1. Use the definition of sequence convergence to prove the following statement. Let (a,), (b,), (cn) be sequences of real numbers such that a,n s b, S en for all n e N. If lim,- an = lim,- Cn = bE R, then lim,,- bn = b. 401
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