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Which is series divergent? ο Σ=1 1,000,000+η 1 1 Σ=1 1.2 1 Σ En=l n2 Σ=1 an+1
(1) Suppose that Σ an converges and Σ bn diverges. Show that Σ (an +b.) diverges.
(1) Suppose that Σ an converges and Σ bn diverges. Show that Σ (an +b.) diverges.
Show that the logistic sigmoid function σ(a) = 1/1+exp(-a) satisfies the property σ(-a)= 1-σ(a) and that its inverse is given by σ-1(y) = ln {y/(1 y)}.
evaluate
Σ(1) k=1 n (-1)* k+1 Σ(1). A=0
(c) Σ k k=1
(c) Σ k k=1
show by mathematical induction
Σ) Ε Σ k=1 k=1
5. Σ cosh -1 6. Σ n=2 logn n 7. Σ πιο +1) nlog(n+1) n=1 n=2 8.Σ (n!)?(2η)!(3n51 - 43n10)18" η" (3η)! nel
Test the series for convergence or divergence. 2. Σ-1 M: ÎM 5. Σ 1 **=2 ny Inn M: 9. Σ ων () 10. Σ» in (1) 12. Στα 14. Σπωλειον IM 15. Σ (V2 - 1)" 16. Σ(-1)*cos (1/n?). IM
Given production function: y=f(x1,x2)=(α⋅x(σ−1)/σ1+(1−α)⋅x(σ−1)/σ2)σ/(σ−1) consider, α = 0.2 and σ = 0.7. The first factor is currently used in the amount x1 = 9, and the second factor is used in the amount x2 = 3. a) When (x1,x2) = (9,3), how much output is being produced? Output: b) When (x1,x2) = (9,3), what is the marginal product of factor 1? Marginal product: c) When (x1,x2) = (9,3), what is the average product of factor 1? Average product: d) When...
2-15 Determine whether the series is convergent or divergent. 1 2. Σ 1.0001 3. Σ 1-0.00 n=5 η n=1 σο 2 3 4. Σ 5. Σ (1) ده است + ηψη 3 n=1 1 1 6. Σ 7. Σ η=5 (η – 4)? 2n + 3 n=1