In MongoDB will limit() increase query speed?

No, using LIMIT() decreases the bandwidth consumption and it does not increase query speed. Let us see an example and create a collection with documents −

> db.demo197.insertOne({"Name":"Chris"});
{
   "acknowledged" : true,
   "insertedId" : ObjectId("5e3afde803d395bdc21346d8")
}
> db.demo197.insertOne({"Name":"Bob"});
{
   "acknowledged" : true,
   "insertedId" : ObjectId("5e3afdef03d395bdc21346d9")
}
> db.demo197.insertOne({"Name":"David"});
{
   "acknowledged" : true,
   "insertedId" : ObjectId("5e3afdf203d395bdc21346da")
}
> db.demo197.insertOne({"Name":"Sam"});
{
   "acknowledged" : true,
   "insertedId" : ObjectId("5e3afdf603d395bdc21346db")
}
> db.demo197.insertOne({"Name":"Mike"});
{
   "acknowledged" : true,
   "insertedId" : ObjectId("5e3afdf903d395bdc21346dc")
}
> db.demo197.insertOne({"Name":"Carol"});
{
   "acknowledged" : true,
   "insertedId" : ObjectId("5e3afe1603d395bdc21346dd")
}
> db.demo197.insertOne({"Name":"John"});
{
   "acknowledged" : true,
   "insertedId" : ObjectId("5e3afe2003d395bdc21346de")
}

Display all documents from a collection with the help of find() method −

> db.demo197.find();

This will produce the following output −

{ "_id" : ObjectId("5e3afde803d395bdc21346d8"), "Name" : "Chris" }
{ "_id" : ObjectId("5e3afdef03d395bdc21346d9"), "Name" : "Bob" }
{ "_id" : ObjectId("5e3afdf203d395bdc21346da"), "Name" : "David" }
{ "_id" : ObjectId("5e3afdf603d395bdc21346db"), "Name" : "Sam" }
{ "_id" : ObjectId("5e3afdf903d395bdc21346dc"), "Name" : "Mike" }
{ "_id" : ObjectId("5e3afe1603d395bdc21346dd"), "Name" : "Carol" }
{ "_id" : ObjectId("5e3afe2003d395bdc21346de"), "Name" : "John" }

Following is the query using LIMIT() −

> db.demo197.find().limit(4);

This will produce the following output −

{ "_id" : ObjectId("5e3afde803d395bdc21346d8"), "Name" : "Chris" }
{ "_id" : ObjectId("5e3afdef03d395bdc21346d9"), "Name" : "Bob" }
{ "_id" : ObjectId("5e3afdf203d395bdc21346da"), "Name" : "David" }
{ "_id" : ObjectId("5e3afdf603d395bdc21346db"), "Name" : "Sam" }