"Say if the following sequence of functions in R: f_n(x) = { 0, if |x| < n; exp(−|x|/n), if |x| > n. converges (1) in quadratic mean, (2) in the sense of distributions."
My own calculation of (1) says that it does converge in the quadratic mean, but I dont have the solutions for this problem so I dont know if I am right, I also need help for (2).