x-+0 x - TeacherWeb

Find the value of each limit. For a limit that does not exist. state whv.
15. lim x3 +2x2 -3x+3
x-+-l
16. lim (x -6)%
x-+1
x2 +5x+6
x+2
Ig. , (x++)2x -ta
x-+0
htrr
x-->1
i-t
x' -1
Daily Lessons and Assessments for Ap* calculus AB.A complete course
Mark Sparks @2012
Page
l0
22.
24.
26.
firo
sr-3
x-+0 3x'
+gx1
23.
-l6x'
x+0
x
(x+h)2 +2lx+h)-3-(x2 +2x-31
IUr|z). ,.
n
h-->0
-t
,* (2+x)3
x
x-+0
yrf9+I{-)ir
I _1
2
x+2
1on
flx):z* -zx
27.
/(x) it J (x) ={'f
x->2"
rim
,:('
Lor*ff,t
Daily Lessons and Assessments forAP* Calculus AB,A Complete Course
Mark Sparks A 20n
x<2
x>2
Page 1l
28.
]yr{*'(?)
29.
lim x+3
x-)5^+ x-3
3l.
30.
I *l
3Z-
lffi-
x-+0
x
\!
r--x+J-z^
x->l
lim
"l
_')
2x' :9x+9
x-->-3+ x'-9
f2-*,
33. lim { .
x-->11x"
x<1
-2x, x>-2
Daily Lessons and Assessments for AP* Calculus AB.rA Complete Course
Mark Sparks @ 2012
Page 12
34.
If lim f (x) = 2 and lim s(x) = 4 , find each of the following limits.
x-+3
Show your analysis applying
x-+3
the properties of limits.
u. rnrlf(x)+2g(x)l
lj-l-Egl
s(x) l
x-+3L
u jg*
35.
If
Ltm
x-->4
e. lrn^[:/(x) - g(x)]
x-)J
c.
)yrJTna
.g[^#t]
lim g(x) = 3, find each of the following limits. Show your analysis applying
f (x) = 0 and x-->4
the properties of
ir,[;flfr]
c.
limits.
b.
d.
"hm.[SG)+3J
lim af(x)
x-+4
lkn g21x1
x-->4
Daily Lessons and Assessments for AP* Calculus ABrA Complete
Mark Sparks @2012
Course
Page
13

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