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Math Help - Convergent Sequence proof

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    Convergent Sequence proof

    Prove that the sums and differences of convergent sequences are convergent
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  2. #2
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    This is the trick to the proof.
    \left| {\left( {a + b} \right) - \left( {a_n  + b_n } \right)} \right| = \left| {\left( {a - a_n } \right) + \left( {b - b_n } \right)} \right| \le \left| {\left( {a - a_n } \right)} \right| + \left| {\left( {b - b_n } \right)} \right|<br />
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