Using calculus, it can be shown that the secant function can be approximated by the polynomial sec xapprox 1 + frac{x^{2}}{2!}+frac{5x^{4}}{4!} where x is in radians. Use a graphing utility to graph the secant function and its polynomial approximation in the same viewing window. How do the graphs compare?

Using calculus, it can be shown that the secant function can be approximated by the polynomial sec xapprox 1 + frac{x^{2}}{2!}+frac{5x^{4}}{4!} where x is in radians. Use a graphing utility to graph the secant function and its polynomial approximation in the same viewing window. How do the graphs compare?

Question
Polynomial graphs
asked 2021-01-25
Using calculus, it can be shown that the secant function can be approximated by the polynomial \(\displaystyle{\sec{{x}}}\approx{1}+{\frac{{{x}^{{{2}}}}}{{{2}!}}}+{\frac{{{5}{x}^{{{4}}}}}{{{4}!}}}\) where x is in radians. Use a graphing utility to graph the secant function and its polynomial approximation in the same viewing window. How do the graphs compare?

Answers (1)

2021-01-26
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