N $=100$ turns

l$1=0\mathrm{.}31$ m

A$1=0\mathrm{.}01$ m$2$

l$2=0\mathrm{.}1$ m

A$2=0\mathrm{.}0035$ m$2$

l$3=0\mathrm{.}3$ m

A$3=0\mathrm{.}01$ m$2$

As the gap is increased in size $($length$),$ what is the limiting value of inductance? Neglect leakage flux and fringing effects.