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 2-0 - - x²-3x+2 sin(x-1) x-1 (c) lim arctan -x²-3+4x 2x-2) Question 2 Prove that the equation re= -1 is solvable. Question 3 Prove that the equation x3 = 2x² + 3x - 3 is solvable.
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 2-0 - - x²-3x+2 sin(x-1) x-1 (c) lim arctan -x²-3+4x 2x-2) Question 2 Prove that the equation re= -1 is solvable. Question 3 Prove that the equation x3 = 2x² + 3x - 3 is solvable.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 3 please
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7634a6a-5ecc-40e2-9892-46ba7a4cefd4%2F8fa14b1a-99a0-4e78-854d-96d9b66cdd9f%2F01sjtis_processed.jpeg&w=3840&q=75)
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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