MAT 1320 Lecture Notes - Lecture 4: Asymptote, Rational Number, Reconsideration Of A Motion

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1320
• Professor: Kirill Zaynullin

Document Summary

Mat1320x calculus i: limits, limits at in nity, continuity, and i. v. t. ( sept. 17 ) Lec 3 mini review. slope of secant: f (b) f (a) b a average rate of change: f (b) f (a) b a goal: slope of tangent at a: goal: instantaneous rate of change at a: f (a+h) f (a) h want h ! 0 limits: the intuitive de nition one-sided limits: f (a+h) f (a) h want h ! What about the limit lim x 0 x2 sin x ? sin x dne. mamma . m. Law because both limits must exist in order to apply that. It looks like lamsiptgisoo y=x2sin(ex) as function this. Oscillates infinitely often adf. ly#isine waves keep shrinking because of 2 factor. These notes are solely for the personal use of students registered in mat1320; their creator does not give permission for this material to be uploaded or shared online. Let f , g, and h be functions.