Find the value of k so that the function f(x) = {𝑘 𝑐𝑜𝑠 𝑥𝜋 − 2𝑥, 𝑖𝑓 𝑥 ≠

Find the value of k so that the function f(x) = {
𝑘 𝑐𝑜𝑠 𝑥
𝜋 − 2𝑥
, 𝑖𝑓 𝑥 ≠
𝜋
2
3, 𝑖𝑓 𝑥 =
𝜋
2
is continuous at 𝑥 =
𝜋
2
.