Range of $N=\frac21\times\frac43\times\dots\times\frac{400}{399}$? Question:

If $N=\frac21\times\frac43\times\dots\times\frac{400}{399}$ then it lies between:
a) $50$ and $60$
b) $20$ and $30$
c) $30$ and $40$
d) $40$ and $50$

What I tried:

$M1$: Tried finding of someway to reduce the expression. Taking $2$ common from all the terms in numerator didn't help. Then writing terms as $(1+\frac1{2k-1})$ also didn't help.
$M2$: Multiplied first few terms to check if I get somewhere close to the answer as the latter terms are very small. But nope, first few terms didn't really give me a nice idea.

Please help.

It is a well known fact that
$$\frac 1{\sqrt{4n+2}}\le \frac{1.3.5\dots (2n-1)}{2.4.6\dots (2n)}\le \frac 1{\sqrt{3n+1}}$$
It can be proven by induction or by noticing the fact that
$$\frac ab\le \frac{a+k}{b+k}$$
and then taking a clever product.
