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)...

Extracted 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


Extracted 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.