Practice problem
Define a function fff as follows. f(x)=0f(x) = 0f(x)=0 for all x≤0x \le 0x≤0. For all k∈Zk \in \mathbb{Z}k∈Z (integers), if x∈[2k,2k+1)x \in [2^k, 2^{k+1})x∈[2k,2k+1), then f(x)=(−2)kf(x) = (-2)^kf(x)=(−2)k.
Is fff continuous at 000?
Yes
No
Type a concept, like “slope” or “photosynthesis”.