Asymptotes (if any)
Properties of Limits
Limits of Graphs
Limits Analytically
Limits at Infinity
100
VA?
f(x)=3/(x^2+x-2)
x=1, x=-2
100
lim_(x->c) f(x) = 4 and lim_(x->c) g(x) = -3
Find: lim_(x->c) [2f(x)-3]^3
125
100
Lim_(x->5) [3f(x) - 2g(x)]
-2
100
lim_(x->-2) (x^2-2x-8)/(x+2)
-6
100
lim_(x->oo) (x+5)/(3x+1)
1/3
100
HA?
f(x)=(x^2-2x)/(x^2-4)
y=1
100
lim_(x->c) f(x) = 4
lim_(x->c) g(x) = -3
Find: lim_(x->c) (5f(x)+2g(x))/(g(x)-f(x))
-2
100
Lim_(x->-3) [f(x)]2
36
100
lim_(x->4) (sqrt(x)-2)/(x-4)
1/4
100
lim_(x->oo) (100x+7)/(5x^2-2x+1)
0
100
HA?
f(x)=(2x+12)/(x^2-36)
y=0
100
lim_(x->c) f(x) = 4 and lim_(x->c) g(x) = -3
Find: lim_(x->c) (4*f(x))/(1-g(x))
4
100
Lim_(x->-2) f(g(x))
-6
100
lim_(x->0) [(1/(x+2)) - (1/2)]/x
-1/4
100
lim_(x->oo) (x^2+4x+10)/(5x-2)
oo
100
VA?
f(x)=(x^2-5x+6)/(x^2+7x-18)
x=-9
100
lim_(x->c) f(x) = -3/4 and lim_(x->c) g(x) = 2/3
Find: lim_(x->c) [f(x)+2g(x)]
7/12
100
Lim_(x->+3) [f(x) + g(x)]
14
100
lim_(x->2) (x^2 - x - 2)/(x - 2)
3
100
lim_(x->-oo) (63x^4+14x)/(-12x^2+27x^4-4)
63/27 or 7/3
100
VA?
f(x)=(x^2)/(x^2+1)
None
100
lim_(x->c) f(x) = 4 and lim_(x->c) g(x) = -3
Find: lim_(x->c) [3f(x)*2g(x)]
-72
100
Lim_(x->5^-) [f(x) - g(x)]
-1
100
lim_(x->9) [( sqrt(x) - 3)/(x-9)]
1/6
100
lim_(x->-oo) (5/x^3-300)
-300