mathematik/analysis/aufgabenblatt_4_4.py
2025-10-19 10:46:17 +02:00

36 lines
668 B
Python

#%%
import sympy as sp
import IPython.display as dp
k = sp.symbols("k")
# a)
print("a)")
dp.display(sp.Sum(k, (k, 4, 10)))
dp.display(sp.Sum(k, (k, 4, 10)).doit())
# b)
print("b)")
dp.display(sp.Sum(2*k, (k, 4, 10)))
dp.display(sp.Sum(2*k, (k, 4, 10)).doit())
# c)
print("c)")
dp.display(sp.Sum(k**3, (k, -2, 2)))
dp.display(sp.Sum(k**3, (k, -2, 2)).doit())
# d)
print("d)")
dp.display(sp.Sum(1/k, (k, 2, 4)))
dp.display(sp.Sum(1/k, (k, 2, 4)).doit())
# e)
print("3)")
dp.display(sp.Sum(2**k, (k, 0, 4)))
dp.display(sp.Sum(2**k, (k, 0, 4)).doit())
# f)
print("f)")
dp.display(sp.Sum(((-1)**k)*k, (k, 4, 9)))
dp.display(sp.Sum(((-1)**k)*k, (k, 4, 9)).doit())
#%%