n=5000兆でヤコブ・ベルヌーイのeの定義は使えるか？

In [1]:

    

import decimal


    

In [2]:

    

decimal.Context()


    

    
Out[2]:





Context(prec=28, rounding=ROUND_HALF_EVEN, Emin=-999999, Emax=999999, capitals=1, clamp=0, flags=[], traps=[InvalidOperation, DivisionByZero, Overflow])

In [3]:

    

want = decimal.Decimal(5000 * 10 ** 12)


    

In [4]:

    

want


    

    
Out[4]:





Decimal('5000000000000000')

In [5]:

    

one = decimal.Decimal('1')


    

In [6]:

    

one


    

    
Out[6]:





Decimal('1')

In [7]:

    

e = (one + one / want) ** want


    

In [8]:

    

e


    

    
Out[8]:





Decimal('2.718281828459044963532104625')

In [9]:

    

import math


    

In [10]:

    

math.e


    

    
Out[10]:





2.718281828459045

In [11]:

    

double_want = 5000 * 10 ** 12


    

In [12]:

    

e = (1 + 1 / double_want) ** double_want


    

In [13]:

    

e


    

    
Out[13]:





3.0350352065492636