Question #07236 Calculus Differentiating Trigonometric Functions Limits Involving Trigonometric Functions 1 Answer bp Apr 2, 2017 #oo# Explanation: #Lim_(x->pi/2) ((xsinx)/cos x -pi/(4cos x))# #lim_(x->pi/2) ((4xsin x -pi cos x)/(4cos x))# #(4pi/2 sin (pi/2))/(4 cos (pi/2))# #4/0# #oo# 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 2102 views around the world You can reuse this answer Creative Commons License