We want to compute the following limit: -2 +7z - 6 lim 11 22 - 3z + 2 a) As z approaches 1, we get an indeterminate form of the type O 10 O 0/0 O 00 O 0 - 0 O 0 x 0 O 0/0 -2²+7z-6 12 -3z+2 b) Simplify the quotient when z + 1, to get an expression of the form P(z) that doesn't have a division by 0 at z = 1. Q(z) FORMATTING: To write your answer, please type it in the form [P(x), Q(z)], including the square brackets and write a comma between your simplified numerator P (z) and your simplified denominator Q (2). Answer: [P(z), Q(z)] = -22 + 7z - 6 c) Use your result in (b) to compute lim I1 2 - 3x +2 Answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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We want to compute the following limit:
-22 + 7x - 6
lim
3x +2
a) As x approaches 1, we get an indeterminate form of the type
O 100 O 0/0 O 0
00 - 00 0 0x o O 0/00
-22 +7x-6
22 -3x+2
b) Simplify the quotient
when a + 1, to get an expression of the form
P(x)
that doesn't have a division by 0 at a = 1.
Q(x)
FORMATTING: To write your answer, please type it in the form [P(x), Q(x)], including
the square brackets and write a comma between your simplified numerator P (2) and
your simplified denominator Q (x).
Answer. [P(2), Q(2)) =
-72 + 7x -
c) Use your result in (b) to compute lim
x1 22
3x + 2
Answer:
Transcribed Image Text:We want to compute the following limit: -22 + 7x - 6 lim 3x +2 a) As x approaches 1, we get an indeterminate form of the type O 100 O 0/0 O 0 00 - 00 0 0x o O 0/00 -22 +7x-6 22 -3x+2 b) Simplify the quotient when a + 1, to get an expression of the form P(x) that doesn't have a division by 0 at a = 1. Q(x) FORMATTING: To write your answer, please type it in the form [P(x), Q(x)], including the square brackets and write a comma between your simplified numerator P (2) and your simplified denominator Q (x). Answer. [P(2), Q(2)) = -72 + 7x - c) Use your result in (b) to compute lim x1 22 3x + 2 Answer:
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