code.importing exponential function from Python's math library:from math import exp# calculating the sum :for n in range (1,5):N = 10**nS= 0for k in range (0,N+1) :S=S+ (k**2)*exp(-k)print('The sum of {} terms becomes: {}!format(N,S))Step 3outputThe sum of 10 terms becomes : 1.9887261765907427The sum of 100 terms becomes : 1.9922947671249875The sum of 1000 terms becomes:1.9922947671249875The sum of 10000 terms becomes :1.9922947671249875 2. Use software (e.g. Excel, C++, Python) to assist your judgement of whether the series in (1) converges or diverges.Clarify your answer based on the software results.

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code. importing exponential function from Python's math library : from math import exp # calculating the sum: for n in range (1,5) : N = 10**n S= 0

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

code.
importing exponential function from Python's math library:
from math import exp
# calculating the sum :
for n in range (1,5):
N = 10**n
S= 0
for k in range (0,N+1) :
S=S+ (k**2)*exp(-k)
print('The sum of {} terms becomes: {}!format(N,S))
Step 3
output
The sum of 10 terms becomes : 1.9887261765907427
The sum of 100 terms becomes : 1.9922947671249875
The sum of 1000 terms becomes:1.9922947671249875
The sum of 10000 terms becomes :1.9922947671249875

2. Use software (e.g. Excel, C++, Python) to assist your judgement of whether the series in (1) converges or diverges.
Clarify your answer based on the software results.

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