The number of times the functionfx-r-12009r-x-r vanishes is

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Non Removable Discontinuities

The number of...

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The number of times the function

f(x)= vanishes is

$0$

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$2008$

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$2010$

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$1$

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The number of times the function $f (x) = 2009 \sum r = 1 \frac{r}{x - r}$ vanishes is

f (x) = \infty \sum r = 1 \frac{x^{r}}{(r - 1)!}

x_{1}, x_{2}, x_{3} . . . x_{n}

x

f (x)

x_{1} > x_{2} > x_{3} . . . x_{n}

lim n \to \infty n \sum r = 1 \frac{r}{x_{r}}

{log}_{p} q + {log}_{q} r + {log}_{r} p

p, q

r

{({log}_{p} q)}_{p}^{3} + {({log}_{q} r)}_{q}^{3} + {({log}_{r} p)}_{r}^{3}

99

X

P (X = r)

r

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