2. For each of the following limits, either use the Squeeze Theorem to evaluate the limit,evaluate the limit another way algebraically, or show that the limit does not exist, likein Question 3 of the project. Write the numerical values of the limit in the Teamsspreadsheet in the corresponding location. If a limit does not exist, write "12345'. If alimit is infinity, write "999". If a limit is negative infinity, write “_999".(1) lim Jæ| arctan r.(2) lim f(x), where f(x) = { (x – 2)² + 4,x is rational| 2· (x – 2)² + 4, otherwise.3(3) lim sin(4) lim x + e* sin x.x -00sin x(5) lim1→7/2 Cos(tan r)"3. Based on Question 4 from the project, evaluate the following limits algebraically. Writethe numerical values of the limit in the Teams spreadsheet in the corresponding location.If a limit does not exist, write "“12345". If a limit is infinity, write "999". If a limit isnegative infinity, write "-999".tan 3x(1) lim3xI - 4(2) limr-4 VI – 24.x(3) limr0 x2 + 4.(4) lim Vr? + 5 – Vx + 58x – 16(5) limr2 r2 – 4

Answered: 3. Based on Question 4 from the…

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

2. For each of the following limits, either use the Squeeze Theorem to evaluate the limit,
evaluate the limit another way algebraically, or show that the limit does not exist, like
in Question 3 of the project. Write the numerical values of the limit in the Teams
spreadsheet in the corresponding location. If a limit does not exist, write "12345'. If a
limit is infinity, write "999". If a limit is negative infinity, write “_999".
(1) lim Jæ| arctan r.
(2) lim f(x), where f(x) = { (x – 2)² + 4,
x is rational
| 2· (x – 2)² + 4, otherwise.
3
(3) lim sin
(4) lim x + e* sin x.
x -00
sin x
(5) lim
1→7/2 Cos(tan r)"
3. Based on Question 4 from the project, evaluate the following limits algebraically. Write
the numerical values of the limit in the Teams spreadsheet in the corresponding location.
If a limit does not exist, write "“12345". If a limit is infinity, write "999". If a limit is
negative infinity, write "-999".
tan 3x
(1) lim
3x
I - 4
(2) lim
r-4 VI – 2
4.x
(3) lim
r0 x2 + 4.
(4) lim Vr? + 5 – Vx + 5
8x – 16
(5) lim
r2 r2 – 4

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