What is the limit of cos(x-9)/sqrt(x-3)cos(x−9)√x−3 as xx approaches to 9? Calculus Differentiating Trigonometric Functions Limits Involving Trigonometric Functions 1 Answer kumail Apr 24, 2017 1/sqrt(6)1√6 Explanation: Since the function is defined at x = 9x=9, we can simply evaluate it at x=9x=9 to obtain the limit, evaluating, we get cos(0)/sqrt(6) = 1/sqrt(6)cos(0)√6=1√6 Answer link Related questions How do you find the limit of inverse trig functions? How do you find limits involving trigonometric functions and infinity? What is the limit lim_(x->0)sin(x)/x? What is the limit lim_(x->0)(cos(x)-1)/x? What is the limit of sin(2x)/x^2 as x approaches 0? Question #99ee1 What is the derivative of 2^sin(pi*x)? What is the derivative of sin^3x? Question #eefeb Question #af14f See all questions in Limits Involving Trigonometric Functions Impact of this question 2795 views around the world You can reuse this answer Creative Commons License