Recent content by dannysaf

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    Microeconomics (labour market, the union) question?

    If demand is absolutly inelastic then the number of jobs is fixed whatever the pay. But here is just inelastic demand, so the number of jobs will vary, but on very small quantity!
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    Microeconomics (labour market, the union) question?

    Of couse, but I'm not sure what they mean by total wage income !
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    Microeconomics (labour market, the union) question?

    Suppose that a union's goal is to maximize the total wage income received by union workers, namely, the average union wage times the number of union workers employed. To achieve this goal, the union should: A. Decrease the union wage rate if labor demand is inelastic and increase the wage...
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    Continuity of Functions at a Point: The Role of Addition and Multiplication

    1)Let f and g be functions such that f (x) + g(x) and f (x) − g(x) are continuous at x = x0 . Must f and g be continuous at x = x0 ? 2)What can be said about the continuity of f (x) + g(x) at x = x0 , if f (x) is continuous and g(x) is discontinuous at x = x0 ? 3)What can be said...
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    Proof: Xn<N!: A Mathematical Exploration

    proof xn < n!
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    Find limit of sequence xₙ = ½(xₙ₋₁ + 3/xₙ₋₁) with x₁ = a

    Consider the sequence [SIZE="3"]x[SIZE="1"]n in which [SIZE="3"]x[SIZE="1"]n = 1/2([SIZE="3"]x[SIZE="1"]n−1 + (3/[SIZE="3"]x[SIZE="1"]n-1) and [SIZE="3"]x[SIZE="1"]1 = a (a not equals 0). Find lim [SIZE="1"]n →∞ [SIZE="3"]x[SIZE="1"]n
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    Find the limit of a recursive sequence xₙ = ½(xₙ₋₁ + 3/xₙ₋₁)

    Consider the sequence [SIZE="3"]x[SIZE="1"]n in which [SIZE="3"]x[SIZE="1"]n = 1/2([SIZE="3"]x[SIZE="1"]n−1 + (3/[SIZE="3"]x[SIZE="1"]n-1) and [SIZE="3"]x[SIZE="1"]1 = a (a not equals 0). Find lim [SIZE="1"]n →∞ [SIZE="3"]x[SIZE="1"]n
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    Limit of an Arithmetic Series: Solving for the Limit as n Approaches Infinity

    I have no idea how to do it...so I am asking to give me a clue to this problem!
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    If the product of two sequences tends to zero, must one sequence tend to zero?

    Let lim n →∞ XnYn = 0. Is it true that Limn →∞ Xn= 0 or Limn →∞Yn = 0 (or both)?
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    Limit of an Arithmetic Series: Solving for the Limit as n Approaches Infinity

    Limn→∞ (n2/1+5+9+...+(4n-3))
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    Prove lim gn exists for sequence satisfying gn(1-gn)gn+1 > 1/4

    Suppose [SIZE="3"]g[SIZE="1"]1 , [SIZE="3"]g[SIZE="1"]2 ,... are any numbers that satisfy the inequalities 0 < [SIZE="3"]g[SIZE="1"]n < 1 and (1 − [SIZE="3"]g[SIZE="1"]n)[SIZE="3"]g[SIZE="1"]n+1 > 1/4 for all n. Prove that lim [SIZE="3"]g[SIZE="1"]n for n→∞ exists, and find it. I need...
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    Graduate Prove that lim gn for n→∞ exists, and find it.

    Suppose [SIZE="3"]g[SIZE="1"]1 , [SIZE="3"]g[SIZE="1"]2 ,... are any numbers that satisfy the inequalities 0 < [SIZE="3"]g[SIZE="1"]n < 1 and (1 − [SIZE="3"]g[SIZE="1"]n )[SIZE="3"]g[SIZE="1"]n+1 > 1/4 for all n. Prove that lim [SIZE="3"]g[SIZE="1"]n for n→∞ exists, and find it. I need...
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