I need help trying to find the left, right, and overall limits for this piecewise function without using a calculator.

f(x) = { sin(x/3) if x≤pi , (x√ 3)/(2pi)if x>pi} when a=pi

1 answer

well, geez, these are common enough angles . . .

the left limit is sin π/3 = √3/2

the right limit is (π√3)/(2π) = √3/2

Looks like f(x) is continuous