Calculus Ch. 1 Name__________________
Review 1.2 & 1.3
Complete the table and use the result to estimate the limit. Round answers to three decimal places.
1.
x โ3
1โx โ2
lim x3
โ
+
limit_____________
x
-2.9
-2.99
-2.999
-3
-3.0001
-3.001
-3.01
f(x)
Use the graph to find the limit.
2.
x0
lim sec x
โ
3.
x3
1
lim xโ3
โ
limit______________ limit______________
Find the limits analytically. Leave your answers in exact form (no decimals).
4.
3
4
x3
lim x โ 11
โ
5.
( )
3
x3
lim x 2x โ 6
โ
+
6. 2
x3
lim sin x
ฯ
โ
7.
2
x1
2โx
lim x โ4
โ
8.
x1
x 3โ2
lim xโ1
โ
+
9.
( )
( )
22
x0
x x โxโ x
lim x
โโ
+โ โ
โ
2
ฯ
2
ฯ
โ
1
2
