Let 𝑓(𝑥) = [𝑥] + [ 𝑥] for 𝑥 ≠ 0 𝑎𝑛𝑑 𝑓(0) = 𝑘 For what value - Maths - Continuity and Differentiability

Question

Let 𝑓(𝑥) = [𝑥] + [−𝑥] for
𝑥 ≠ 0 𝑎𝑛𝑑 𝑓(0) =
𝑘 For what value of k , if any , is 𝑓 continuous at
𝑥 = 0

Sukhjinder Singh · Accepted Answer

Let 𝑓(𝑥) = [𝑥] + [−𝑥] for 𝑥 ≠ 0 𝑎𝑛𝑑 𝑓(0) = 𝑘 . For what value of k , if any , is 𝑓 continuous at 𝑥 = 0