First, let's write out the first few terms of the series:
$\frac{1}{1!} + \frac{1}{3!} + \frac{1}{5!} + \frac{1}{7!} + \cdots$
Now, let's consider the Taylor series expansion of the sine function:
$\sin(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} +
Show more…