### uniform convergence and proof

Determine the uniform convergence and convergence of the series ∑▒〖〖(f〗_n),〗 where f_n (x)is given by the following: (The Weoerstrass M-Test will be needed) a sin(x/n^2 ) b. 〖(nx)〗^(-2),x≠0, c. 〖(x^2+n^2)〗^(-1) d. (-1)^n (n+x)^(-1),x≥0, e. 〖(x^n+1)〗^(-1),x≥0