Directions for examples #1-#3:
Evaluate each limit analytically by direction substitution. Factor when necessary
1. lim
x 5
x 2  4x  5
x2  5
2.
x 2  4x  5
lim
x 5
x 2  25
Date: _____________
Evaluating Limits Analytically
x 2  4x  5
3. lim
x 5
x 2  25
.
Directions for examples #4-#6:
Evaluate each limit analytically by looking at exponents.
x 2  4x  5
4. x   x 2  5
lim
x 2  4x  5
5. x   x  25
lim
6.
x5
x    x 2  25
lim
Directions for examples #7-#10:
Evaluate each limits by making a table.
x 2  4x  1
7. xlim
 2
x2  2
x 2  4x  1
x 2
x2
8. lim
x
f (x)
x
f (x)
9. lim
x 
3x 2  4 x  1
2 x 2  25
400 x
x  x 2  25
10. lim
x
x
f (x)
f (x)