MAT135H1 Lecture Notes - Lecture 4: Asymptote, Lyx

• School: UTSG
• Department: Mathematics
• Course: MAT135H1
• Professor: natalia Christina Garcia

Document Summary

Mat135h1 f - lecture 4 - calculus 1(a) Type 1: where x is in the exponential. Example 1: find lim x e x + e x e x e x. Divide by highest power e x + e x e x e x lim x . As x approaches infinity, e gets infinitely large, and therefore. Also divide by highest power of x - the goal is to turn infinity into 0 by manipulating it this way. The square root of the numerator makes it x 2 for its enclosed values x = x 2 lim x . Example 3: find lim x x 4 + 10 x 2. Method 1: lim x x 4 + 10 x 2 = lim x . 10 x 4 1 = 1 1 = 0. Example 4: lim x ln 2 + x. 4 x 2 + 5 x + 2 lim x . , so cannot solve like this.