Exponential Functions

If

*** QuickLaTeX cannot compile formula:
r=\frac{3{5}

*** Error message:
File ended while scanning use of \frac .
Emergency stop.

, find the least integral value of n for which \frac{r^{n}}{1-r} is less than 0.0001.

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Miscellaneous Examples, Question 8, p. 33)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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