This is my latex statement Code:

\frac{d}{dx} \sum_{n=0}^{\infty} x^{n} = \sum_{n=1}^{\infty} n x^{n-1}

and tried a few times but it still didn't show up. Weird.

For a geometry series that starts from n=0, when differentiated, the first term vanishes because it is multiplied by 0. But if a series is starting from n=1 or n=2, then the first term will not vanish since the first term will multiply by 1 or 2, which will not make it to zero. And if I still increase the counter after differentiating, wouldn't the series have a missing first term?