Question 1 please Question 1Evaluate 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/xx→0--x²-3x+2(c) lim arctan-x² - 3+4xsin(x 1)2x-2)-Question 2Prove that the equation xe = x² - 1 is solvable.Question 3Prove that the equation x3 =2x²+3x-3 is solvable.

To find:Evaluate the given limits.As we know-

Answered: Question 1 Evaluate the limit below. If…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 8E

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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)] (b) lim e¹/x 04x (c) lim arctan - x²-3x+2 sin(x-1)] - -x² - 3+4x 2x-2)