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36

Sum of series 36



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The solution

You have entered [src]
  oo    
 __     
 \ `    
  )   36
 /_,    
n = 1   
n=136\sum_{n=1}^{\infty} 36
Sum(36, (n, 1, oo))
The radius of convergence of the power series
Given number:
3636
It is a series of species
an(cxx0)dna_{n} \left(c x - x_{0}\right)^{d n}
- power series.
The radius of convergence of a power series can be calculated by the formula:
Rd=x0+limnanan+1cR^{d} = \frac{x_{0} + \lim_{n \to \infty} \left|{\frac{a_{n}}{a_{n + 1}}}\right|}{c}
In this case
an=36a_{n} = 36
and
x0=0x_{0} = 0
,
d=0d = 0
,
c=1c = 1
then
1=limn11 = \lim_{n \to \infty} 1
Let's take the limit
we find
True

False
The rate of convergence of the power series
1.07.01.52.02.53.03.54.04.55.05.56.06.50500
The answer [src]
oo
\infty
oo
Numerical answer
The series diverges
The graph
Sum of series 36

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