Limit vocab
What does it mean when a limit does not exist?
The function has different left and right limits, goes to infinity, or oscillates
What is the answer to this?
lim 2cos(x)
X arrow 3pie/4
-1.414
What is the limit, if none explain why
lim (2-x2)
x arrow 0
2
What is a missing point on a graph where the function is not defined?
Hole
What is the answer?
lim. -x-4/x2-6x+8
x arrow 1
1
what is the limit, if none explain why
lim x2-4/x+2
x arrow -2
-4
What is a value a function approaches as x gets closer to a number?
limit
What is the answer?
lim 3/x2
x arrow infinity
0
What is the limit, if none explain why
Lim |x+2|/x+2
x arrow -2
DNE, two points meet at different points on the graph so the limit is DNE
What is a function with no breaks, holes, or jumps?
Continuous
What is the answer?
lim. (5x+1)(7-x)/(5x-7)(5+8)
x arrow infinity
-1
What is the limit, if none explain why
Lim. Sin piex/2
x arrow -1
-1
What is when the left-hand and right-hand limits are different?
Jump discontinuity
lim (4+5/x)
x arrow infinity
4
lim f(x) {2, x=3
{0, x=3
x arrow 3
Lim f(x)=2
x arrow 3