MAT135H1 Lecture Notes - Lecture 8: Asymptote, Coefficient

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

Document Summary

Read sections 2. 5 -2. 6 from the textbook. Instead of considering the limits where f ( ) limits where (end behaviour of f ( )) , we now focus on looking at the. Q: consider the function f ( ) = tan -1 and its graph. Notice that as becomes arbitrarily large ( ) then f ( ) approaches. That is, tan -1 = - lim x . If f ( ) becomes arbitrarily close to l for all sufficiently large > 0, then lim x f ( ) = l. We say the limit of f ( ) as approaches equals l . The line = l is a horizontal asymptote of f. N for n = 1, 2, 3, If n is odd, lim x lim x + . N = + and lim x . 1/ n = 0 for all n = 1, 2, 3 , .