 #1
rb120134
 9
 0
 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,