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(a) lim (3xª + 2x² - x + 1) X-2 PIE

(a) lim (3xª + 2x² - x + 1) X-2 PIE

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 7E
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Evaluate the limit and justify each step by indicating the appropriate Limit Theorem(s) used in each step which is the 2nd picture attatched. thank you

REMEMBER! THEOREMS ON LIMITS THEOREM 1: The limit of the sum of two (or more) functions is equal to the sum of their limits nd for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmittin in any form or by ronic, mechanical, photocopying, recording, or ofherwise of any part of this document, without the prior written permission of SLU, is strictiy prohibite lim[u(x) + v(x)] = lim u(x) + lim v(x) THEOREM 2: The limit of the product of two (or more) functions is equal to the product of their limits lim[u(x)v(x)] = [im u(x] [im v(x)] THEOREM 3: The limit of the quotient of two functions is equal to the quotient of their limits provided the limit of the denominator is not zero lim u(x)] lim v(x) [u(x)] lim if Him v(x)] # 0 Lx-a x-a v(x) Lx-a Lx-a THEOREM 4: If a is measured in radians, lim sinoc = 1 THEOREM 5: The limit of a constant is the constant itself lim k = k where k is any constant THEOREM 6: The limit of a constant times a function is the constant times the limit of the function. lim[ku(x)] = k lim u(x) where k is any constant SITY
Transcribed Image Text:REMEMBER! THEOREMS ON LIMITS THEOREM 1: The limit of the sum of two (or more) functions is equal to the sum of their limits nd for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmittin in any form or by ronic, mechanical, photocopying, recording, or ofherwise of any part of this document, without the prior written permission of SLU, is strictiy prohibite lim[u(x) + v(x)] = lim u(x) + lim v(x) THEOREM 2: The limit of the product of two (or more) functions is equal to the product of their limits lim[u(x)v(x)] = [im u(x] [im v(x)] THEOREM 3: The limit of the quotient of two functions is equal to the quotient of their limits provided the limit of the denominator is not zero lim u(x)] lim v(x) [u(x)] lim if Him v(x)] # 0 Lx-a x-a v(x) Lx-a Lx-a THEOREM 4: If a is measured in radians, lim sinoc = 1 THEOREM 5: The limit of a constant is the constant itself lim k = k where k is any constant THEOREM 6: The limit of a constant times a function is the constant times the limit of the function. lim[ku(x)] = k lim u(x) where k is any constant SITY
PIENTIA (a) lim (3xª + 2x² - x + 1) X-2 EDIFICA 1 + 3x lim 1 + 4x? + 3x* (b)
Transcribed Image Text:PIENTIA (a) lim (3xª + 2x² - x + 1) X-2 EDIFICA 1 + 3x lim 1 + 4x? + 3x* (b)
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