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A convergent boundary is a deforming region where two tectonic plates or fragments move toward each other and collide. Some examples are; the forming of the Himalayas, New Zealand, and the Aleutian Islands.
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Examples of bounded and not convergent sequence?
(0,1,0,1,...)
Two rays that share an endpoint?
Convergent.
Is every cauchy sequence is convergent?
Every convergent sequence is Cauchy. Every Cauchy sequence in Rk is convergent, but this is not true in general, for example within S= {x:x€R, x>0} the Cauchy sequence (1/n) has no limit in s since 0 is not a member of S.
Give examples of a convergent series.?
These are some series (not the summation of series) that converge: 1/n1/n2(a/b)n if a/b < 1 or = 1sin(1/n)cos(1/n)sin(nπ) π = picos([2n+1]π/2)e-n(n+2)/n
What is rapid convergence?
Rapidity of convergence is a relative concept whose meaning comes from the "comparison test" for convergence. One version of the comparison test says that if (an) is convergent and abs(bn)<K*abs(an) for all n, for some K>0, then (bn) must be convergent too.
