The math module includes a function exp which computes the exponential of a floating point number. Import this function, and note how many decimal places are given in the evaluation of exp(1). Using Taylor series to approximate the exponential function, we could define the following function: def exp_taylor(x, n): exp_approx = 0 for i in range (n): exp_approx += x ** i / factorial (i) return exp_approx which computes the value of n terms of the sum in equation (1.1) from the tutorial notes. How many terms are needed before this function offers no further increase in accuracy in the evaluation of exp(1)?
The math module includes a function exp which computes the exponential of a floating point number. Import this function, and note how many decimal places are given in the evaluation of exp(1). Using Taylor series to approximate the exponential function, we could define the following function: def exp_taylor(x, n): exp_approx = 0 for i in range (n): exp_approx += x ** i / factorial (i) return exp_approx which computes the value of n terms of the sum in equation (1.1) from the tutorial notes. How many terms are needed before this function offers no further increase in accuracy in the evaluation of exp(1)?
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:The math module includes a function exp which computes the exponential of a floating point
number. Import this function, and note how many decimal places are given in the evaluation of
exp (1). Using Taylor series to approximate the exponential function, we could define the following
function:
def exp_taylor(x, n):
exp_approx = 0
for i in range(n):
exp_approx += x ** i / factorial(i)
return exp_approx
which computes the value of n terms of the sum in equation (1.1) from the tutorial notes. How
many terms are needed before this function offers no further increase in accuracy in the evaluation
of exp(1)?
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