If the left and right hand limits disagree, then we say that the limit.....
What is DNE or Does Not Exist
100
This is the
limit as x approaches infinity of (2x^2-7x+4)/(4x^2-5x+2)
What is 1/2
100
This is the limit as x approaches 1+
What is -2.
100
This is the limit as x approaches 3.
What is 1.
100
This is the limit as x approaches 2 of (x^2-2x)/(x^2-x-2)
What is 2/3.
200
If the limit approaching either positive or negative infinity equals a certain value, then we can conclude that there is a ________________________ at that value.
What is a HORIZONTAL ASYMPTOTE
200
If the limit as x approaches a certain value is equal to positive or negative infinity, then we can conclude that there is a __________________ at that value.
What is a VERTICAL ASYMPTOTE
200
This is the limit as x approaches -1-
What is - infinity
200
These are all the x values with REMOVABLE discontinuities.
What is x=3, 4 and 6.
200
This is the limit as x approaches 9 of (x^2-81)/(sqrt(x) -3).
What is 108.
300
If the limit at a certain value equals the actual value of the function, we say that the function is _______________ at that value
What is continuous
300
This is the limit as x approaches infinity of (4x^2-7x+1)/(2x-1).
What is DNE or positive infinity
300
This is the type of discontinuity at x=4.
What is JUMP DISCONTINUITY.
300
This is limit as x approaches 1.
What is DNE.
300
This is the limit as x approaches 0 of ((4+h)^2-16)/h
What is 8.
400
This type of discontinuity occurs when the graph is blocked by an asymptote
What is an INFINITE DISCONTINUITY
400
This is the limit as x approaches infinity of (x^2+x)/(3-x)
What is NEGATIVE INFINITY
400
This is f(3).
What is 3.
400
This is the limit as x approaches 4- .
What is -2.
400
This is the limit as x approaches 1 of (x^3-1)/(x^2-1).
What is 3/2.
500
This is the special name for a function that is broken up at a particular value of x.
f(x) = { 2x+3, x<2, 4x-1, x>2}
What is a PIECEWISE function
500
This is the limit as x approaches infinity of any function that looks like 1/x^n
What is 0.
500
This is the ENTIRE domain where the function is CONTINUOUS
use ( ) or [ ] to show your answer
What is (- infinity, -1), (-1, 1), (1, 3), (3, 4), (4,6),(6, + infinity)
500
This is the answer to problem 50 on page 85.
What is a=-1.
500
This is the limit as x approaches -4 of ((1/4)+(1/x))/(4+x).