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1 Problem 1 Write a program to evaluate e 9 . 3 , in single precision float arithmetic, using each of the two alternative methods:
Problem
Write a program to evaluate e in single precision float arithmetic, using each of the two alternative
methods:
ex x
x
x
and
ex
ex
x x
x
For use the first k terms in the righthand side; and for use the first k terms in the denominator of
the righthand side. Use the matlab builtin function exp to find the true value of e
Approximate e by the above two evaluated results based on the sums of the first k terms; compute the
two approximation errors ek and ek; generate and compare the two error curves orand tables
for k
Which method has a higher numerical precision? Which method converges faster? Explain your observations.
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