Ms. Sudasassi trivia
How many kids do I have?
Name four times when a limit does not exist.
1. Removable discontinuity
2. Jump discontinuity
3. Infinite discontinuity
4. Oscillating discontinuity
lim_(x→2) 3/(4x)
3/8
Determine if any discontinuity(ies) exists for
f(x)=(x-1)/(2x^2-2)
non removeable discontinuity (vertical asymptote) at x =-1
removeable discontinuity (hole) at x=1
Civil Engineer
What does the notation lim x->8 f(x) = 25 mean?
As x approaches (gets very close to) 8, f(x) approaches (gets very close to) 25
lim_(x→-3) (x^2+x-6)/(x^2-9)
5/6
Determine if any discontinuity(ies) exists for
f(x)=(x^2+2x-8)/(x^2-4)
non removeable discontinuity (vertical asymptote) at x =-2
removeable discontinuity (hole) at x=2
What is my favorite food?
Anything with Chocolate
If f(2)=4, can you conclude anything about the limit of f(x) as x approaches 2?
No
lim _(x→-1) (x2-1)/(x+1)
-2
If the limit of f(x) as x approaches 2 is 4, can you conclude anything about f(2)?
No
lim_(x→0) cosx
1
True/False: If f(a) is undefined, then the limit as x approaches a will also be undefined.
False
lim_(x→4)(x^2-5x+4)/(x^2-2x-8)
1/2
State the 2 rules you know for limits to infinity.
Bottom heavy: 0
Powers equal: divide coefficients
lim_(x→−3) (x^2-x-12)/(x+3)
-7
When is the function f(x) continuous at x=c (by calculus standards)?
f(c) is defined,
lim_(x->c) f(x)
exists ,
lim_(x->c)f(x)=f(c)