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- Homework Statement
- Let Lim n>infinity of an and lim n>infinity of bn be real numbers, then show that their sum

lim n>infinity (an + bn) is also a real number. Hint, you can use the triangle inequality

- Relevant Equations
- Triangle inequality, Lim n>infinity(an), and Lim n>infinity(bn)

In the homework I am asked to proof this, the hint says that I can use the triangle inequality.

I was thinking that if both series go to a real number, a real number is just any number on the real number line, but how do I go from there,

I was thinking that if both series go to a real number, a real number is just any number on the real number line, but how do I go from there,