Sine Integral Function The sine integral function
is often used in engineering. The function
is not defined at t = 0, but its limit is 1 as t? 0. So, define f(0) = 1. Then f is continuous everywhere.
(a) Use a graphing utility to graph Si(x).
(b) At what values of x does Si(x) have relative maxima?
(c) Find the coordinates of the first inflection point where x > 0.
(d) Decide whether Si(x) has any horizontal asymptotes. If so, identify each.
To graph: The function using a graphing utility.
To calculate: The value of x where the function has a relative maximum.
To calculate: The first inflection point for positive x for the function .
To calculate: The horizontal asymptotes for the function .
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