Question how many terms is a member of the house of representatives limited to
Answer They serve two year terms and can be voted in an unlimited number of times.
House Membership
House members are usually called representatives; they are also referred to as congressmen or congresswomen, although technically these titles apply to both House and Senate members. Representatives must be at least 25 years old, U.S. citizens for at least seven years, and residents of the state from which they are elected. Only an amendment to the Constitution can change these three requirements. Many states enacted laws in the early 1990s to limit the number of terms their representatives (and senators) could serve, but in 1995 the Supreme Court of the United States ruled that these laws violated the Constitution.
House members are elected by voters in congressional districts. When the first Congress met in 1789, it had 65 members who represented districts of no more than 30,000 people. The House added members throughout the 19th century as the country’s population grew and new states were admitted. A 1911 law fixed the size at 435 members. Today each House member represents about 650,000 people.