Question

Let $f(x) = cos^2(3x)$. ewline Find the Maclaurin series of $f(x)$. ewline Tip: $cos(2u) = cos^2 u - sin^2 u$ and question 8 ewline Which is the correct option? ewline a) $frac{1}{2} cdot sum_{n=0}^{infty} (-1)^n cdot frac{6^n}{(2n)!} x^{2n}$ ewline b) $frac{1}{2} cdot sum_{n=0}^{infty} (-1)^n cdot frac{6^n}{n!} x^n$ ewline c) $frac{1}{2} cdot (1 + sum_{n=0}^{infty} (-1)^n cdot frac{6^{2n}}{(2n)!} x^{2n})$ ewline d) $frac{1}{2} cdot (1 + sum_{n=0}^{infty} (-1)^n cdot frac{6^n}{(2n)!} x^{2n})$ ewline e) $frac{1}{2} cdot sum_{n=0}^{infty} (-1)^n cdot frac{6^n}{(2n)!} x^n$ ewline f) $frac{1}{2} cdot (1 - sum_{n=0}^{infty} (-1)^n cdot frac{3^n}{n!} x^{2n})$

          Let $f(x) = cos^2(3x)$. 
ewline Find the Maclaurin series of $f(x)$. 
ewline Tip: $cos(2u) = cos^2 u - sin^2 u$ and question 8 
ewline Which is the correct option? 
ewline a) $frac{1}{2} cdot sum_{n=0}^{infty} (-1)^n cdot frac{6^n}{(2n)!} x^{2n}$ 
ewline b) $frac{1}{2} cdot sum_{n=0}^{infty} (-1)^n cdot frac{6^n}{n!} x^n$ 
ewline c) $frac{1}{2} cdot (1 + sum_{n=0}^{infty} (-1)^n cdot frac{6^{2n}}{(2n)!} x^{2n})$ 
ewline d) $frac{1}{2} cdot (1 + sum_{n=0}^{infty} (-1)^n cdot frac{6^n}{(2n)!} x^{2n})$ 
ewline e) $frac{1}{2} cdot sum_{n=0}^{infty} (-1)^n cdot frac{6^n}{(2n)!} x^n$ 
ewline f) $frac{1}{2} cdot (1 - sum_{n=0}^{infty} (-1)^n cdot frac{3^n}{n!} x^{2n})$

$Let f(x) = cos^2(3x). ewline Find the Maclaurin series of f(x). ewline Tip: cos(2u) = cos^2 u - sin^2 u and question 8 ewline Which is the correct option? ewline a) frac12 cdot sumn=0^infty (-1)^n cdot frac6^n(2n)! x^2n ewline b) frac12 cdot sumn=0^infty (-1)^n cdot frac6^nn! x^n ewline c) frac12 cdot (1 + sumn=0^infty (-1)^n cdot frac6^2n(2n)! x^2n) ewline d) frac12 cdot (1 + sumn=0^infty (-1)^n cdot frac6^n(2n)! x^2n) ewline e) frac12 cdot sumn=0^infty (-1)^n cdot frac6^n(2n)! x^n ewline f) frac12 cdot (1 - sumn=0^infty (-1)^n cdot frac3^nn! x^2n)$

Added by Celia R.

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