Let f (x) = 1 + SiNx / X and point out the discontinuity of F (x) F (x) = 2, x = 0, how to calculate 2 here, please explain in detail

Let f (x) = 1 + SiNx / X and point out the discontinuity of F (x) F (x) = 2, x = 0, how to calculate 2 here, please explain in detail

lim(x—0)sinx/x=1
So when x-0,
lim(x—0)f(x)=1+1=2