I don't see anything wrong with it, other than claiming certain decimals are equal when they're not. Your final answer is correct, and the overall logic is correct, but it's better to use exact numbers along the way when you can.
Question: Evaluate limx->pi/3 sqrt[sin(5x/2)]
So by using direct substitution that would become sqrt[sin(2.618)].
sin(2.618) = 0.5
limit = sqrt(0.5)
This just feels wrong. Did I do the process incorrectly?
Any help is appreciated!