Benefits of doing the (Free) Career Test:
- Get familiar with the top companies in Singapore
- There are seven distinct career types based on career preferences, goals and personality. Get to know yours! (My result: Harmonizer)
- Take part in the annual Universum survey and win prizes!
Let be a measurable function with . Show that for any , there exists a such that for any measurable set with , we have .
Proof: For , we define , for all .
Let . Then for any with ,
Note that . By Monotone Convergence Theorem,
We can choose sufficiently large such that
We are done!