MAT135H1 Lecture 6: MAT135 - Lecture 6 - Calculating Limits using Limit Laws

• School: UTSG
• Department: Mathematics
• Course: MAT135H1
• Professor: Dimitri Chouchkov

Document Summary

Mat135 - lecture 6 - calculating limits using limit laws. Assume lim x a lim x a f ( ) , c = c lim x a g ( ) exist. 1 be a positive integer and c . G ( )) = ( lim x a f ( )) ( lim x a. Provided lim x a lim x a f ( ) / g ( ) lim x a g ( ) 0 lim x a ([ f ( ) ] n ) = ( lim x a f ( )) n lim x a f ( )) 1/ n ([ f ( ) ] 1/ n ) = ( lim x a. 0 (positive) for near a when n is even. The same laws applies to one-sided limits. By using the same limit laws, this applies to all polynomials p ( ) and rational functions.