In order for us to let any love in we must first learn what love is.
In the sentence given, it is a gerund and not an infinitive phrase. The complete gerund phrase in the sentence is "jumping rope". The gerund is the word "jumping". A gerund is a word that takes the -ing form of the verb, but functions as a noun. This gerund phrase is used as the subject of the sentence.
Answer:
Playwright
Explanation:
Playwrite, although it seems correct is just a combination of two play and the verb "write", to make the word a noun with correct spelling, it is written as playwright.