SymPy是符号数学的Python库。它的目标是成为一个全功能的计算机代数系统，同时保持代码简洁、易于理解和扩展

#coding:utf-8'''函数极限'''import sympysympy.init_printing()from sympy import I, pi, ooimport numpy as npx = sympy.Symbol('x')expr = sympy.sin(x) / xresult = 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))/hresult = 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)

以上就是本文的全部内容，希望对大家的学习有所帮助，也希望大家多多支持。