1.计算下列多项式之和

sum = 0
for i in range(1,101):  #分母i从1取到100
    sum = sum + 1 / i   #累加，结果赋值给sum
print("sum=%.6f" % sum)  #显示结果后六位小数

2.计算下列多项式之和

sum = 1     #初始值为1
f = -1
for i in range(2, 101):     #分母从2取到100
    sum = sum + 1 / i * f   #用f改变分数的正负
    f = -f      #改变f的正负
print("sum=%.6f" % sum)

3.计算下列多项式之和

sum = 0
t = 0
for i in range(1, 101):     #分母从1取到100
    t = t + i               #对分母进行累加
    sum = sum + 1 / t
print("sum=%.6f" % sum)

4.计算a+aa+aaa+a…a前6项之和（a=2）

a = 2
sum = 0
for i in range(6):      #循环6次
    sum = sum + a       #将累加结果赋值给sum
    a = a * 10 + 2      
print("sum=", sum) 

5.用泰勒级数计算e的近似值，直到最后一项小于1e-6为止， e=1+1/1!+ 1/2! +1/3!+……1/n

sum = 1
t = 1
i = 1
while 1 / t > 1e-6:     #当不满足条件时终止循环
    t = t * i           #阶乘
    sum = sum + 1 / t
    i += 1
print("sum=%.6f" % sum)

6.计算π的公式为，，计算π的近似值

pi = 1
f = -1
i = 3
while 1 / i > 1e-6:
    pi = pi + 1 / i * f
    i = i + 2
    f = -f
print("pi=%.6f" % (pi * 4))