19.2.2.11 Convergence in Normed Spaces

Condition: Find the limit of the sequence if it exists: \ [x_ {n} (t) = \ frac {n t} {1+n^{2} t^{2}} \ quad {c} c [0.1] {and} c_ {1} [0,1] \] \] \] \] \] \] \] \] \] \] \] \] \] \] \] \] \] \] \]