This would look a lot nicer if you edited it and changed all the "tex" "/tex" labels to "math" "/math"
Could somebody here please verify my proof?
Given the two sequences and which is defined as
1) show that if , for is true. Then for
2) show that if , for . Then for
I choose an which for all m, implies that .
I then choose a random there is an N'' such that for all
from which is follows that
Then by the triangle inequality
there is an N'' such that for all , thus
will tend to 0 by part (a).
I have let the two last tex modules stand because I cannot get them to work with "math", "/math"