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series from 2 to infinity of [ 3 ^(n+1) . {z^n+2)} ] / [ n!]

indicate the convergence nhd (neighborhood).

Is series from 2 to infinity of [ 3 ^ {(3n+4)/2} /n!) convergent if yes compute its sum.

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[ (n+1). { 1+ ( n+1)^2 } ^ {1/2} . (n+3) ] / [ n . (n+2). { 1+ ( n)^2 } ^ {1/2} ]

as n : infinity

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[ (n+1 )^ square root of {n+1} ] / [n ^ square root of {n} ]

or i can say

Limit

[ (n+1 )^ ( {n+1}^ {1/2} ) ] / [ n ^ ({n}^ {1/2} ) ]

as n: infinity

In Progress... |

In Progress... |

Answered! |

In Progress... |

1- f(z) = [ z^3 + z + 1 ] / [1+z^2]

2- g(z) = z. sin (1/z)

Answered! |

1- find the zeros of f

2- classify the zero z=0 , z= pi, z=2pi

In Progress... |

1- Find the singularities of f , and all possible annulus centered at each singularity

2- Find the laurent series of f in each annulus

3- classify each singularity

4- compute the residue of at each singular point

In Progress... |