python怎么编辑极限函数 python求极限函数

文章摘要：python怎么编辑极限函数 python求极限函数

在python中利用符号计算编辑极限函数，具体方法如下： import sympy sympy.init_pr […]

在python中利用符号计算编辑极限函数，具体方法如下：

import sympy

sympy.init_printing()

from sympy import I, pi, oo

import numpy as npx = sympy.Symbol('x')

expr = sympy.sin(x) / x

result = sympy.limit(expr,x,0)

print('limit:',result)f = sympy.Function('f')

x, h = sympy.symbols("x, h")

diff_limit = (f(x + h) - f(x))/h

result = sympy.limit(diff_limit.subs(f, sympy.cos), h, 0)

print('limit:',result)

result = sympy.limit(diff_limit.subs(f, sympy.sin), h, 0)

print('limit:',result)expr = (x**2 - 3*x) / (2*x - 2)

p = sympy.limit(expr/x, x, sympy.oo)

q = sympy.limit(expr - p*x, x, sympy.oo)

print('result:p,q = ',p,q)# 求和

n = sympy.symbols("n", integer=True)

s = sympy.Sum(1/(n**2), (n, 1, oo))

print('sum:',s)

print('sum:',s.doit())# 求积

p = sympy.Product(n, (n, 1, 7))

print('product:',p)

print('product:',p.doit())expr = sympy.Sum((x)**n/(sympy.factorial(n)), (n, 1, oo)).doit().simplify()

print('expr:',expr)