Let f, g, and h be functions of t. Then, the vector-valued function 𝐫(t)=f(t) 𝐢 g(t) 𝐣 is continuous at point t=a if the following three conditions hold: 1. 𝐫(a) exists 2. limt →a 𝐫(t) exists 3. limt →a 𝐫(t)=𝐫(a) Similarly, the vector-valued function 𝐫(t)=f(t) 𝐢 g(t) 𝐣 h(t) 𝐤 is continuous at point t=a if the following three conditions hold: 1. 𝐫(a) exists 2. limt →a 𝐫(t) exists 3. limt →a 𝐫(t)=𝐫(a) | Numerade

Continuous Function / Check the Continuity of a Function