One-Sided Limits
Properties of Limits
Limits of Graphs
Limits Analytically
100
Lim_(x->5) (x-5)/(x^2 -25)
1/10
100
7/12
100
Lim_(x->+3) [f(x) + g(x)]
14
100
Lim_(x->2) (x^2 - x - 2)/(x - 2)
3
200
Lim_(x-> -1) (x+1)/(X^3 + 1)
1/3
200
Lim_(x->c) f(x) = 4
Lim_(x->c) g(x) = -3
Find:
Lim_(x->c) [2f(x) - 3]^3
125
200
Lim_(x->5) [3f(x) - 2g(x)]
-2
200
Lim_(x->-2) (x2-2x-8)/(x+2)
-6
300
Lim_(x-> 0) (Sin 4x)/(5x)
4/5
300
Lim_(x->c) f(x) = 4
Lim_(x->c) g(x) = -3
Find:
Lim_(x->c) [3f(x)*2g(x) ]
-72
300
Lim_(x->5-) [f(x) - g(x)]
-1
300
Lim_(x->9) [( sqrtx - 3)/(x-9)]
1/6
400
Lim_(x->-1) 1/(x+1)
-|><|
400
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
400
Lim_(x->-3) [f(x)]2
36
400
Lim_(x->4) [( sqrtx - 2)/(x-4)]
1/4
500
Lim_(x->+Inf) (2x^2 - 1)/(3x^2)
2/3
500
Lim_(x->c) f(x) = 4
Lim_(x->c) g(x) = -3
Find:
Lim_(x->c) [7f(x)]2/(1-g(x))
196
500
Lim_(x->-2) f(g(x))
-6
500
lim_(x->0) [(1/(x+2)) - (1/2)]/x
-1/4