Functions wanna function continuously.

Calculus Level pending

Let $f(x) = (2- \frac{x}{a} )^{ tan(\frac{\pi *x}{2a})}$ for $x \neq a$.The value which should be assigned to f at x=a so that it is continuous everywhere is $d^{\frac{b}{c}}$. Calculate $\lfloor b+c+d \rfloor$.

×