Show that for any real constants and , where , .

To prove this, we have to show that there exists constants such that for all .


Note that, , when Also note, , when

Therefore, when ,

As , we can raise all the terms of the previous inequality to the power of without breaking the inequality:

So, because there exists , , and .

If you have any question or suggestion or you have found any error in this solution, please leave a comment below.