1.1 Notes Day 2 One Sided Limits/Properties of Limits/Squeeze Theorem
SWBAT: Determine one sided limits of functions and apply the Squeeze Theorem to solve for the limit of
a function
To distinguish what happens to a function just to the right and left at some number , we use one sided
limits.
RECALL: A function f(x) has a limit as x approaches c if and only if the right-hand and left-hand limits at c
exist AND are equal.
WARM UP
Given
a) I
1%11×7=1*7+11×1
¥71
- ×
b) 0 I DNE
limtx
.
✗ → 1-
c) , I 1
limit
✗→ 2-
¥1.14
d) 2 2 2
Iims ×
¥914
-
X→3+
e) I
, Squeeze theorem
What do you do if you can not find a limit directly? ___________________________________________
HID in interval [a. b)
if flx)
≤ glx) ≤
and flk) hlk) for
=
some K C- [a. b)
¥79k fad ) =
SWBAT: Determine one sided limits of functions and apply the Squeeze Theorem to solve for the limit of
a function
To distinguish what happens to a function just to the right and left at some number , we use one sided
limits.
RECALL: A function f(x) has a limit as x approaches c if and only if the right-hand and left-hand limits at c
exist AND are equal.
WARM UP
Given
a) I
1%11×7=1*7+11×1
¥71
- ×
b) 0 I DNE
limtx
.
✗ → 1-
c) , I 1
limit
✗→ 2-
¥1.14
d) 2 2 2
Iims ×
¥914
-
X→3+
e) I
, Squeeze theorem
What do you do if you can not find a limit directly? ___________________________________________
HID in interval [a. b)
if flx)
≤ glx) ≤
and flk) hlk) for
=
some K C- [a. b)
¥79k fad ) =
