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# Calculus Workbook 15 Section 2.5 - Limits Involving Infinity Preliminary Example. Calculate the following limits. lim f(x)= f(x) = x2 + 1 x-+00 x2 -...

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Questions highlighted are: 1. Page 5, Example 1 2/3. Page 6, Exercise 1 and 2 4. Page 7, Exercise 5 5/6. Page 11, Exercise 3 and 4 7. Page 13, Example 3 8/9. Page 14, Example 1 and 2 10. Page 15 - Preliminary Example Please answer with working out shown when possible, thank you!

Calculus Workbook
15
Section 2.5 - Limits Involving Infinity
Preliminary Example. Calculate the following limits.
x2 + 1
lim f(x) =-
x-+00
f (x) =
x2 - 1
Y
lim f(x) =-
I-+-00
lim f(x)=
HNWAU
x--1+
lim f (x) =
x--1
X
2
3
lim f(x) =
-3
-2
x-+1+
lim f(x) =
UAWN
c-+1-

lim x2+1
lion
=l =1
X-3 Do x?_)
1) &quot; Itzx
x4 - ki-1 X- _co I- 1/X
= 1=1
Airv
x3
=
= -DO
X- -It
=
2
= +0
lin
2+1
x- It
2
= +0
x 2+1
=
JK
=-Oo
x-( x2-J
All result agree with given graph

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