campbell8391 campbell8391

12-07-2018
Mathematics

contestada

Find the sum of the infinite series 0.9 + 0.09 + 0.009 +…if it exists.

Respuesta :

konrad509 konrad509

12-07-2018

[tex] S=0.9+0.09+0.009+\ldots\\
q=0.1\\
|q|<1 \Rightarrow S=\dfrac{a_1}{1-q}\\\\
S=\dfrac{0.9}{1-0.1}=\dfrac{0.9}{0.9}=1 [/tex]

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