Analysis of Limit Problem : Sequences of Positive Numbers

Related BrainMass Solutions

• Sequences and limits

  Xsubn os positive numbers with lim(Xsubn^1/n)=1 We know the result , then we have Let , then is a convergent positive sequence with limit 0.

• Sequences : Limits and Convergence

  39356 Sequences : Limits and Convergence This question is from Advanced Calculus II class, it is more like introduction to real analysis. Let f_n: R -> R be the sequence of functions given by f_n(x) = x/ ( 1 + nx^2) a).

• Limits of Sequences

  50856 Real Analysis - Limits of Sequences Suppose that {an} and {bn} are sequences of positive terms, and that the limit as n goes to infinity of (an/bn) = L > 0.

• Sequences and limits

  It has limit by a theorem. Assume that , taking limit on both side of , we have A=2-1/A So, So, A=1 So, There are several examples of working with sequences and limits to complete broofs.

• Determine Upper and Lower Bounds

  We find limits of sequences the same way that we find limits of functions, but we need a little additional analysis here. First we want to see if a set has a largest and smallest number.

• Real Analysis : Convergent and Cauchy Sequences - Five Problems

  28850 Real Analysis : Convergent and Cauchy Sequences See attached file for all symbols. --- ? For each of the follwing statements decide if it is true or false.

• Real Analysis : Convergent Sequences and Limits

  34399 Real Analysis : Convergent Sequences and Limits Prove the sequence defined by a1 = 0, a2=1 and a(n+2)= (a(n+1)+a(n))/2 for n>=0, converges and find the limit.

• Real Analysis of Irrational Numbers

  25355 Real Analysis of Irrational Numbers Proof: Given any two real numbers aof two real numbers a and b (a

• Proof : Sequences and Limits

  94878 Proof: Sequences and Limits Example Problem If {sn}∞ n=1 is a sequence of real numbers such that sn ≤ M for all n and lim n--> ∞ sn =L; prove that L ≤ M. Is the statement true if we replace both inequalities with "<"?