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converge to 0?
The quotient property of convergent sequences: If a sequenceOriginally Posted by sfspitfire23
converges to a number b, with
not equal to 0 for all indices n, and b is not equal to 0, then the sequence of quotients
converges to the quotient
.
![lim (n\rightarrow \infty) [\frac{a_n}{b_n}] = lim (n\rightarrow \infty) [a_n \times \frac{1}{b_n}]= a \times \frac{1}{b} = \frac{a}{b}](http://latex.codecogs.com/png.latex?lim (n\rightarrow \infty) [\frac{a_n}{b_n}] = lim (n\rightarrow \infty) [a_n \times \frac{1}{b_n}]= a \times \frac{1}{b} = \frac{a}{b})
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