Question Detail
Question
Evaluate lim(x→π/2) cot(x)/cos(x)
Correct Answer
Option B is the correct answer.
Detailed Explanation
cot(x)/cos(x) = (cos x/sin x)/cos x = 1/sin x. At x=π/2, sin x=1, so the limit is 1.
Hint
Rewrite cot x as cos x/sin x and simplify before substituting.