4: Measurable functions

Question 1

There are piecewise linear and continuous fn with fn converging ___ to f

Answer 1

uniformly

Question 2

if a sequence of measurable functions converges ___ to function f then f is ___

Answer 2

pointwise/measurable

Question 3

There are step functions gn with gn converging ___ to g

Answer 3

uniformly

Question 4

if fn are continuous and converge uniformly then f is ___

Answer 4

continuous