The structure of the sentence is what comes before the comma is some kind of negative statement Right after the comma is let alon. Let’s is the english cohortative word, meaning “let us” in an exhortation of the group including the speaker to do something Lets is the third person singular present tense form of the verb let meaning to permit or allow In the questioner’s examples, the sentence means to say “product (allows/permits you to) do something awesome”, so the form with lets is correct. Many people use let, let's and lets in conversation what's the difference between them?
Let normally occurs with a clause of some sort as complement, and passive is unlikely with a clausal object Bill wants me to come to the party would be passivized to *for me to come to the party is wanted by bill, which is hardly an improvement So let doesn't normally passivize. The verb let means “allow”, “permit”, “not prevent or forbid”, “pass, go or come” and it's used with an object and the bare infinitive Are you going to let me drive or not What is the origin of the phrase the beatings will continue until morale improves
The relationship between z and w, on the other hand… Otherwise, know that a basic search will turn up let us in innumerable journal articles, official proclamations, formal invitations, political speeches, and all manner of other speech and writing that would be deemed formal so it's unclear what kind of answer you are looking for. Don't let's forget the 1943 noel coward song don't let's be beastly to the germans Syntactically, him is direct object of allow and let, and the semantic (understood) subject of the infinitival clauses Him is called a 'raised object' since the verb that him relates to syntactically is higher in the constituent structure than the one it relates to semantically.
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