Converges To L Can Be Written As Converges To 0

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Problem 74: (Converges To L Can Be Written As Converges To 0)

Let $(a_n)$ be a sequence of real numbers, and $A$ a real number. Prove that $(a_n)$ converges to $A$ if and only if the sequence $(a_n-A)$ converges to $0$. This will simplify proving that some sequences converge.

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