Chapter 1 Sec 2 & 3 Flashcards
Give an example of a function that approaches a different number from the right side of c than the left side of c
I x I
—–
Lim. x
x ➡ 0
What are the common types of behavior associated with the no existence of a limit
- F(x) approaches a different number from the right side of c than the left side of c.
- F(x) increases or decreases without bound as x approaches c.
- F(x) oscillates between two fixed values and x approaches c.
Give an example of a function that increases or decreases without bound as x approaches c
1 ------ 2 Lim x x ➡ 0
Give an example of a function that oscillates between two fixed values as x approaches c
1
Sin—–
Lim x
x ➡ 0
What does the … Equal? ⛔ Is theta
Sin⛔ -------- Lim ⛔ x➡0
= 1
What does …. Equal?
1 - cos x ---------- Lim x x ➡ 0
= 0
What is the first thing you Always always do when evaluating a limit analytically
Try direct substitution
If direct substitution doesn’t work what other methods can you try
The factor / cancel method
Rationalize the number
Find a common denominator