# Using calculus, it can be shown that the tangent function can be approximated by the polynomial tan x approx x + frac{2x^{3}}{3!} + frac{16x^{5}}{5!}

Using calculus, it can be shown that the tangent function can be approximated by the polynomial where x is in radians. Use a graphing utility to graph the tangent function and its polynomial approximation in the same viewing window. How do the graphs.
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odgovoreh

The red graph is tangent and the blue graph is approximation. The graphs aresimilar close to when $x=0$.

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