Decide if each of the following statements is True or False and provide suitable proof. For a true

statement, you need to identify the values for the constants $$ and $!$ as used in the definitions of Big$-$O

$(),$ Big$-$Omega $()$ and Big$-$Theta $(),$ then show the corresponding inequalities. For a false

statement, you need to justify$/$prove why finding those constants is impossible.

$1.[10$ pts$]3"+5$ log $$ is $(")$

$2.[10$ pts$]2$# $+"$ is $\backslash$Omega $(2$#$)$

$3.[10$ pts$]"$ log $+$ is $\backslash$Theta $("$ log $)$