Veriy whether v is a vector space over ue e verily whether y vector space over tie ieru prove that the set fx of all polynomials in one indeterminatex over a fi

Veriy Whether V IS a vector spaCe Over ue e Verily whether y Vector Space Over tie ierU Prove that the set Fx of all polynomials in one indeterminatex over a ficld Fis a vector space over F. Prove that the set of all convergent sequences is a vector space over the field of real numbers.