# Thread: Continuity - Find the largest value of c?

1. ## Continuity - Find the largest value of c?

Let $f_n(x) = \cos^n x$
and $g(x) = \lim_{n\rightarrow \infty} \sum_{k = 0}^{n} \left(\frac{x}{4}\right)$

If $g(x)$ is continuous in $(0,c)$ then find the largest value of $c$.

2. The summation needs correcting - there's nothing depending on $k$.