2:56 e docs.google.com * lim 22 sin(k/n). is 1. cos(1) + 5/3. 2. cos(1) + 1/3. 3. cos(1) + 2/3 4. cos(1) – 1/3. O 2 Let (fn)n be a sequence of functions fn: [0, 1] → R defined by f„l Then 1. f,...

Extracted text: 2:56 e docs.google.com * lim 22 sin(k/n). is 1. cos(1) + 5/3. 2. cos(1) + 1/3. 3. cos(1) + 2/3 4. cos(1) – 1/3. O 2 Let (fn)n be a sequence of functions fn: [0, 1] → R defined by f„l Then 1. f, converges to 0 pointwisely on [0, 1] since f, converges to 2. fn converges to f = 0 uniformly on [0, 1] and thus fn(x)d_ 3. f converges to 0 pointwiselv on (0, 1] but not uniformly. to 1