Question

ひなた

答えが②なんですけど、なぜto 不定詞や動名詞でもなくhope to になるのか教えて欲しいです。　

(6) You might as well expect a river to flow backward ( ) him into resignation.
①that hope to persuade
3 as to hope persuading
2 as hope to persuade
as hoping to persuade
illed