Use the definition of Big$-$Oh to complete the following proof to show whether the following assertion is true or false. Follow the structure of the examples provided in the lecture slides.

fill$-$in the empty blanks with the options provided.

Assertion: $($n$+1)^4/[$sigma$(1^$i$)-=0$ to n$]$ is o$($n$^2)$

Given the definition of Big$-$Oh: $\_\_\_\_\_$ for c $\_\_\_$ and n $\_\_\_$

Choose n$0\_\_\_$

Assume $\_\_\_\_$

find a c $\_\_\_=\_\_\_<=\_\_\_\_$

Therefore, f$($n$)\_\_\_\_$ O$($n$^2)$

option choices for fill in the blank.

$1.$ f$($n$)>=$ c$*$ g$($n$)$

$2.$ f$($n$)<$ c$*$ g$($n$)$

$3.$ f$($n$)>$ c$*$ g$($n$)$

$4.$ f$($n$)<=$ c$*$ g$($n$)$

$5.<1$

$6.>$n$0$

$7.>=$ n$0$

$8.>=0$

$9.>1$

$10.=1$

$11.>0$

$12.$ n$<1$

$13.$ n$=1$

$14.$ n$>=1$

$15.$ f$($n$)/$g$($n$)$

$16.$ g$($n$)/$ f$($n$)$

and there are more.