The expression on the right of the original limit just happens to be an approximation of the series representation of sin(x). This representation is accurate to within .0003% for −1 < x < 1.
sin(x) = x − [(x3)/3!] + [(x5)/5!] − [(x7)/7!] + ... for all x
Reference: the exclamation point is the factorial symbol. Roughly speaking, it equates to one times every integer less than or equal to that number that is still greater than zero. 7! = 7 * 6 * 5 * 4 * 3 * 2 * 1
*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.
Special Trigonometric Limits
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.