Download Worksheet – Limits of Trigonometric Functions

Worksheet – Limits of Trigonometric Functions
Evaluate the following limits :
1. lim
3sin 
2
2. lim
sin 
tan 
3.
lim
csc - cot
 csc 
lim
1 - cos 2
 1  cos 
lim
sec
 csc 
 0
 0
4.
5.
 0
 0
 0
6. lim
sin 5t
t
7. lim
sin(cos  )
sec 
t 0
 0
8. lim
 0
sin 2

9. lim
cot 2x
csc x
10. lim
sin 
  tan 
x0
 0
11. lim
 0
tan2

The following sources were used in preparing this worksheet – Calculus, 2nd Ed. by Smith & Minton, Calculus, 4th Ed. by
Stewart, Calculus, 7th Ed. by Varberg & Purcell, Plane Trigonometry – A New Approach, 3rd Ed. by Johnston & Lazaris,
Algebra & Trigonometry, 2nd Ed. by Tobey, Nanney & Cable.