B$.$ Our task is to characterize $($verify$)$ the output relation $\backslash (\backslash$frac$\{$v$\_\{\backslash$text $\{$out $\}\}\}\{$v$\_\{\backslash$text $\{$in $\}\}\}=1+\backslash$frac$\{$R$\_\{$f$\}\}\{$R$\_\{1\}\}\backslash )$ for different values of the feedback resistor $\backslash ($ R$\_\{$f$\}\backslash ).$ We could manually run the simulation multiple times, setting a new value of $\backslash ($ R$\_\{$f$\}\backslash )$ each time, observe and note the output, and tabulate the results... but this seems tedious at best and frustrating at worst. We've been using the default simulation configuration called "Interactive" so far this semester. Here we start exploring one of the other configs, "Parameter sweep": choose parameter sweep in the document settings, and choose the feedback resistor as the parameter to change. Choose a linear sweep type from $0$ up to $100$k$,$ and change the setting so you can specify how many steps $($instead of the step size$)$; choose $1000$ steps.

a$.$ Explain how your simulation demonstrates the validity of the output relation. $($In particular, show that the minimum gain is $1.)$