Explanation
Means 'it's impossible to...' or 'there's no way to...'.
Formation
Verb-dictionary form + べくもない
Detailed explanation
This grammar point is used when you want to express that something is impossible or there is no way to do something. The verb before 'べくもない' should be in its dictionary form.
Examples
その問題はとても難しく、解くべくもない。
Sono mondai wa totemo muzukashiku, toku beku mo nai.
That problem is so difficult that it's impossible to solve.
彼女はあまりに速く走って、追いつくべくもない。
Kanojo wa amari ni hayaku hashitte, oitsuku beku mo nai.
She runs so fast that there's no way to catch up.
試験の筆記用具を忘れた。書くべくもない。
Shiken no hikki yougu o wasureta. Kaku beku mo nai.
I forgot my writing utensils for the test. It's impossible to write.
彼はとても高く跳ぶ。追い越すべくもない。
Kare wa totemo takaku tobu. Oikosu beku mo nai.
He jumps so high that there's no way to surpass him.
Practice
Grammar content sourced from hanabira.org.