Complete the following sentence with a (compound) word derived from the one(s) given in bracket.
Jane could never have made such an achievement without the（ ）of her family. (encourage)
本题考查常见动词的名词形式。
由定冠词the和介词of可知，空缺处应填名词，encourage是动词意为“鼓励”，其名词形式是encouragement，符合题意。
句意：没有家人的鼓励，简不可能取得这样的成就。