Determine whether the following vector space is finite or in

Determine whether the following vector space is finite- or infinite-dimensional, and if the sapce is finite-dimensional, find its dimension:

The subspace of real infinite-dimensional vector space consisting of sequences which converge to 0 as i approches infinity.

Solution

Following vector

The subspace of real infinite-dimensional vector space that comprise of sequences converging to 0 as i tends to infinity.

this vector is finite dimensional