At least one thing about Jet.com is certain: It is taking a big swing at becoming a shopping site for the masses.

The heavily funded startup just added fresh groceries like milk, fruit and meats to its offering for some customers, in an effort to take a crack at a tiny, but growing, e-commerce sector that Amazon has yet to dominate. Jet will have the groceries delivered in one to two days, depending on when they are ordered, and delivery will be free for orders of more than $35 during what Jet is calling a "pilot test," according to an email sent to some customers.

The pilot test is available to customers living in at least some parts of Manhattan and Hudson County, N.J., based on a quick Zip Code check I conducted. A Jet rep said the company is testing the service in 875 Zip Codes in total spread throughout New York City, New Jersey, Connecticut, Pennsylvania and Washington, D.C. Most of the Zip Codes are concentrated in New Jersey and D.C., he said.

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