Limits At Infinity

Is it Continuous

100

f(x)= x²+3x-1, yes or no

Yes, POISON

200

f(x)= 1/(x-2) @ x=2

No

300

f(x)=√(x-4) @ x=4

yes

400

f(x)= (x+1)/(x²-4) @x=2

No

500

f(x)= (x²-9)/(x-3) @x=3

No, SCORE SWAP

VA/HA

100

VA of:

F(x)= 1/(x-3)

x=3

200

HA of:

f(x)= (2x+1)/(x-4)

y=2

300

VA of:

f(x)= (x+2)/(x²-9)

x=3, -3

400

HA of:

f(x)= (3x²+1)/(x²-4)

y=3

500

Does the function have a HA?

f(x)= (x²+1)/x

No, SCORE SWAP

Types of discontinuity

100

What type of discontinuity occurs at a VA?

Infinite 

200

What type of discontinuity is a hole in the graph?

Removable Discontinuity

300

What type of discontinuity occurs when left and right limits are different?

Jump Discontinuity, DOUBLE POINT BOOST

400

What type of Discontinuity:

f(x)= (x²-1)/(x-1)

Removable (hole)

500

What type of discontinuity @ x=2:

f(x)= 1/(x-2)²

Infinite

X,Y Intercepts(Rational Expressions)

100

y-intercept of:

f(x)= (x+2)/(x-1)

(0,-2)

200

x-intercept of:

f(x)= (x-5)/(x+2)

(5,0), POISON

300

Evaluate:

lim= (2x+1)/(x-3)

x->∞

2

400

x-intercepts of:

f(x)= (x²-4)/(x+1)

(2,0) and (-2,0)

500

Evaluate:

f(x)= (3x²+5)/(x³-1)

x->∞

0

Limit w/ equation

100

lim 5/x

x→∞

0

200

lim (3x+2)/x

x->∞

3

300

lim (2x²-5x+1)/(x²+4)

x->∞

2

400

lim ((√x²+9))/x

x->∞

1, POINT STEAL

500

lime (3x²+1)/(2x²-5)

x->∞

3/2