![Sequences of Functions - Pointwise and Uniform Convergence | MATH 401 | Study notes Mathematics | Docsity Sequences of Functions - Pointwise and Uniform Convergence | MATH 401 | Study notes Mathematics | Docsity](https://static.docsity.com/documents_first_pages/2009/09/25/51644b1876fd0dfbe71ff1d77d2030e3.png)
Sequences of Functions - Pointwise and Uniform Convergence | MATH 401 | Study notes Mathematics | Docsity
![SOLVED: Consider the sequence of functions n2c4 sin(nc) fn(x) n?1 e (0,0) Show that fn converges pointwise and determine the limit. Use the inequality sin x| < Izl; e R to show SOLVED: Consider the sequence of functions n2c4 sin(nc) fn(x) n?1 e (0,0) Show that fn converges pointwise and determine the limit. Use the inequality sin x| < Izl; e R to show](https://cdn.numerade.com/ask_images/538f5ccb35a64d1ebdd91fb132e5d3db.jpg)
SOLVED: Consider the sequence of functions n2c4 sin(nc) fn(x) n?1 e (0,0) Show that fn converges pointwise and determine the limit. Use the inequality sin x| < Izl; e R to show
![SOLVED: Exercise 6.3.2 Consider the sequence of functions hn (x) x2 + 1 (a) Compute the pointwise limit of (hn) ) and then prove that the convergence is uniform on R (b) SOLVED: Exercise 6.3.2 Consider the sequence of functions hn (x) x2 + 1 (a) Compute the pointwise limit of (hn) ) and then prove that the convergence is uniform on R (b)](https://cdn.numerade.com/ask_images/445ec7072ef04039a31b3c597bd04d07.jpg)