Prove that
for all .
Proof. We consider two cases:
Case #1: If then
for all
so,
The final equality follows since for
.
Case #2: If . Then
for all
. So,
since for all
Prove that
for all .
Proof. We consider two cases:
Case #1: If then
for all
so,
The final equality follows since for
.
Case #2: If . Then
for all
. So,
since for all