Question #86e94 Calculus Differentiating Trigonometric Functions Limits Involving Trigonometric Functions 1 Answer Ratnaker Mehta Apr 2, 2017 #lim_(x to -4pi) sqrt{x+15cos(x+4pi)}# #=sqrt{-4pi+15cos(-4pi+4pi)}# #=sqrt(-4pi+15cos0)# #=sqrt(15-4pi)~~1.56.# 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 1806 views around the world You can reuse this answer Creative Commons License