python第一次作业

2301_810540732026-01-22 9:55

1.计算下列多项式之和：

python 复制代码

sum = 0
for i in range(1,101):
    sum = sum + 1 / i
    print("sum=%.6f" % sum)

2.计算下列多项式之和：

python 复制代码

sum = 1
f = -1
for i in range(2,101):
    sum = sum + 1 / i * f
    f = -f
    print("sum=%.6f" % sum)

3.计算下列多项式之和：

python 复制代码

sum = 0
t = 0
for i in range(1,101):
    t = t + i
    sum = sum + 1 / t
print("sum=%.6f" % sum)

4.计算a+aa+aaa+aaa...a前六项之和 a=2

python 复制代码

a = 2
sum = 0
for i in range(6):
    sum = sum + a
    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!

python 复制代码

sum = 1
t = 1
i = 1
while 1 / t > 1e-16:
    t = t * i
    sum = sum + 1 / t
    i += 1
print("sum=%.6f" % sum)

6.计算π的公式为：

python 复制代码

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))