Let a ϵ R + and b = exp ( − a ) .What...
What is the range of ? Does it range ?
How can I show ?
Answer & Explanation
Given that a>0
therefore you need to find the range of . Since a>0, you can think of this as a positive constant times . This produces the range of
which simplifies to
I would recommend applying Bernoulli's inequality. Alternatively, you could observe that