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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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
Transcribed Image Text: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.
Transcribed Image Text: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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