- $10$, Constant
- $\sqrt{n}$, Square root
- $n$, Polynomial
- $\log_{2}n$, Logarithmic
- $\frac{100}{n}$. Constant division by polynomial (clearly less than constant for every value of n >100)
Now we know Constant division by polynomial < Constant < Logarithmic <Square root < Polynomial
So, correct order is $\frac{100}{n}$, $10$, $\log_{2}n$, $\sqrt{n}$, $n$
PS: In the above graph, for asymptotic notations any graph can be multiplied by a constant and so the $\textbf{SLOPE}$ is the important factor. If any plot is having higher slope, it'll eventually overtake the lower slope one at some value of $x$ and hence asymptotically larger than the other.