LIMITS Flashcards
(32 cards)
Key word for limits:
Approach
How to read a limit?
The limit of f(x) as x approaches a is L.
x>a
limit operator
constant term
a
function
f(x)
L
Limit
Rules for the limit of function to exist:
- Both one sided limits must exist
- One sided limits must be equal
Undefined
ex. 1/0, 3/0…
0/1=
0
0/0
Indeterminate
When both the one sided limits equal, you get the…
General limit
UwU meaning
Both sides of function meet equally in the middle
What is the slope of the curve at this point?
Differentiation
What is the area under the shaded curve?
Integration
to indicate that x approaches a from the left
x->a-
to indicate that x approaches a from the right
x->a+
Not approaching same point=
DNE
Limit of a constant is itself
ex. Lim 5 =
x -> -5
Constant Theorem
Limit of x as x approaches a is a lim x = a
x->a
Substitution Theorem
If the point of a graph is hollow this means the value is…
undefined
Defined point means…
Value exist
removing rational in denominator
Rationalizing
What to use for rationalizing
ex. 2x+3y = 2x - 3y
Conjugate
A function is continuous at a if you’re able to trace the graph without lifting your pen
Continuity
