Let I be an interval of R and fn: I → R. Lets say for each fn is in C¹(I) and that fn converges pointwise to a function f. State a sufficient condition for f to be in C¹(I). n f is be a Riemann integrable function on [0, 1]. (i) Let g be in (0,1). Find limn→[infinity] ſi (1+z)n f (x) dx (ii) Is the answer the same if g =
