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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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.
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
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.