calculus question please

Answer:
Continuous
Step-by-step explanation:
For the function to be continuous, f(x) must approach the same value as x approaches π from the left as the right.
f(π⁻) = f(π⁺)
lim(x→π) x sin x = lim(x→π) x tan x
π sin π = π tan π
0 = 0
Yes, the function is continuous.