Let [x] denote the greatest integer func...

Let `[x]` denote the greatest integer function `& f(x)` be defined in a neighbourhood of `2` by `f(x)=((exp{(x+2)ln4})^(([x+1])/4))/(4^x -16)` if `x < 2`. and `f(x)=A(1-cos(x-2))/((x-2)*tan(x-2))` if `x > 2`. Find the values of `A & f(2)` in order that `f(x)` may be continuous at `x=2`

Let `[x]` denote the greatest integer function `& f(x)` be defined in a neighbourhood of `2` by `f(x)=((exp{(x+2)*ln4})^(([x+1])/4))/(4^x -16)` if `x < 2`. and `f(x)=A*(1-cos(x-2))/((x-2)*tan(x-2))` if `x > 2`. Find the values of `A & f(2)` in order that `f(x)` may be continuous at `x=2`