True/False

A True/False question.

True/False vector space

Every vector space has finite dimension.

The vector space of all polynomials with finite degree has a basis, B = \{1,x,x^2,x^3,\dots\}, which is infinte.

P_n, the vector space of polynomials with degree at most n, has dimension n+1 by . [Cross-reference is just a demo, content is not relevant.] What happens if we relax the defintion and remove the parameter n?