# Convergence in a normed vector space - Linear operator

#### whatsup123

Having X a normed vector space. If f is a linear operator from X to â„ and is not continuous in 0 (element of X) , how can we show that there exists a sequence xn that converges to 0 for which we have f(xn) = 1 (for all n element of â„•).
Any help would be greatly appreciated, thank you.