Show that a sequence of real-valued functions {fn}, defined on complete metric space X, is uniformly convergent if and

only if for every ε > 0 there exists an integer N such that

m, n ≥ N , t ∈ X

implies

|fn (t) – fm (t)| ≤ ε .

(This is known as the Cauchy condition.)

Hunter designs two flags for his adventure club. what is the length of the base, x, of the larger flag? enter your answer, as a decimal, in the box.

3-12. write each answer with a reasonable number of figures. find the absolute uncertainty and percent relative uncertainty for each answer. (a) [12.41 (±0.09) + 4.16 (±0.01)] x 7.068 2 (±0.000 4) =? (b) [3.26 (±0.10) x 8.47 (±0.05)] - 0.18 (±0.06) =? (c) 6.843 (±0.008) x 104 + [2.09 (±0.04)- 1.63 (±0.01)] =?

What is the range for 31,39,29,34,37,24,36,33,34,28