Find a power series for the following function. f ( x ) = 2…

Find a power series for the following function. f ( x ) = 2 sin ⁡ x cos ⁡ x {“version”:”1.1″,”math”:”f(x) = 2\sin x \cos x”}Hint: Start with a trigonometric identity to rewrite the function. (Show all sufficient work in steps and use the technique or method discussed in this course.)