PRECALCULUS HONORS TEST REVIEW
12.4—12.5
Find the limit (if it exists). If the limit does not exist, explain why.
6x + 5
x®¥
2x
1. lim
3x 2 -1
x®¥ x + 2
2. lim
7x
x®¥ (x + 3) 2
3. lim
é x
ù
4. lim ê
+ 5ú
2
x®¥ (x -1)
ë
û
Use the summation formulas to rewrite the sum as a rational function S(n). Then find the
lim S(n)
n®¥
n
5.
æ
i ö æ 1ö
å çè 2 - n ÷ø çè n ÷ø
i=1
Approximate the area of the region using the indicated number of rectangles of equal
width.
6.
f (x) =
1 3
x
4
[0, 2]
n=8
Use the limit process to find the area of the region between the graph of the function and
the x-axis over the specified interval.
7.
f ( x) = x + 2
[ -2, 2]