Mister Exam

Sum of series n-2



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The solution

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  oo         
 __          
 \ `         
  )   (n - 2)
 /_,         
k = 1        
$$\sum_{k=1}^{\infty} \left(n - 2\right)$$
Sum(n - 2, (k, 1, oo))
The radius of convergence of the power series
Given number:
$$n - 2$$
It is a series of species
$$a_{k} \left(c x - x_{0}\right)^{d k}$$
- power series.
The radius of convergence of a power series can be calculated by the formula:
$$R^{d} = \frac{x_{0} + \lim_{k \to \infty} \left|{\frac{a_{k}}{a_{k + 1}}}\right|}{c}$$
In this case
$$a_{k} = n - 2$$
and
$$x_{0} = 0$$
,
$$d = 0$$
,
$$c = 1$$
then
$$1 = \lim_{k \to \infty} 1$$
Let's take the limit
we find
True

False
The answer [src]
oo*(-2 + n)
$$\infty \left(n - 2\right)$$
oo*(-2 + n)

    Examples of finding the sum of a series