If $f_n$ is a sequence of smooth orientation preserning  mappings of degree one between annuli $A(1,r)$ and $A(1,r_n)$, $r>1$ and $r_n>1$, on the Euclidean space $\mathbf{R}^d$,  converging (in compacts of $A(1,r)$ together with the derivatives) to a smooth mapping $f$. What can be said about the degree of $f$?