- #1
swampwiz
- 571
- 83
I was looking at some websites that show the proof of addition of limits for a finite output value, but I don't see one for the case of infinite output value, which has a different condition that needs to be met - i.e., | f( x ) | > M instead of | f( x ) - L | < ε.
http://tutorial.math.lamar.edu/Classes/CalcI/LimitProofs.aspx
http://www.milefoot.com/math/calculus/limits/GenericLimitLawProofs04.htm
And I can't use the trick of letting M be ½ since the triangle inequality doesn't work in the proper direction.
Any idea on how this proof is done for an infinite value?
http://tutorial.math.lamar.edu/Classes/CalcI/LimitProofs.aspx
http://www.milefoot.com/math/calculus/limits/GenericLimitLawProofs04.htm
And I can't use the trick of letting M be ½ since the triangle inequality doesn't work in the proper direction.
Any idea on how this proof is done for an infinite value?