1. ## Various Questions

These questions are used to prove analysis results so may contain some calculus.

All help is appreciated. See pic[attachment] for questions!

2. For the second one, the function is even and $\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}$.

3. Originally Posted by putnam120
For the second one, the function is even and $\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}$.
Cant believe , I missed that... Thanks.

4. For the first question, what are you asking? I don't think that the sign to the left of the expression $\frac{1^x}{x}$ appears correctly.

5. Originally Posted by putnam120
For the first question, what are you asking? I don't think that the sign to the left of the expression $\frac{1^x}{x}$ appears correctly.
I've reposted it on the attachment to this post. Thanks