Question 1 Evaluate the limit below. If the limit does not exists, explain why. - (a) lim [In (1-x) - In (√√x – √2x − 1)] (b) lim e¹/x 04x (c) lim arctan - x²-3x+2 sin(x-1)] - -x² - 3+4x 2x-2)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Question 1
Evaluate the limit below. If the limit does not exists, explain why.
-
(a) lim [In (1 - x) – In (√x' – √2x – 1')]
x 1
(b) lim e¹/x
x→0
-
-
x²-3x+2
(c) lim arctan
-x² - 3+4x
sin(x 1)
2x-2)
-
Question 2
Prove that the equation xe = x² - 1 is solvable.
Question 3
Prove that the equation x3 =2x²+3x-3 is solvable.
Transcribed Image Text:Question 1 Evaluate the limit below. If the limit does not exists, explain why. - (a) lim [In (1 - x) – In (√x' – √2x – 1')] x 1 (b) lim e¹/x x→0 - - x²-3x+2 (c) lim arctan -x² - 3+4x sin(x 1) 2x-2) - Question 2 Prove that the equation xe = x² - 1 is solvable. Question 3 Prove that the equation x3 =2x²+3x-3 is solvable.
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