Evaluate each limit or state why it does not exist.1. lim 13m45 6m12+ 100m – 424. lim 2 sin 0 +6x2 – x - 63z2 - 12z + 132. lim5. limz→-∞ 4-16z + 5z2I→-2x² – 26-x+3x²V25x2 + 83. lim6. lim2х -4x +2 sin x7. Determine the end behavior of f(x) =8. Determine if the statement is true to false. Justify your response.(a) If lim f(x) = 5 then f(2) = 5.(b) If f(2) = 5 then lim f(x) = 5.%3D9. Determine Determine the point(s) at which the function is discontinuous. Foreach point justify why the function is discontinuous.

1. limm→∞13m45-6m12+100m-422. limx→-2x2-x-6x2-23. limx→-∞6-x+3x22x-4 Note: There are multiple…

Answered: 1. lim 13m45 – 6m12 + 100m - 42 x2 -…

Math

Calculus

1. lim 13m45 – 6m12 + 100m - 42 x2 - x-6 2. lim I-2 x2 – 2 6 - x + 3x2 3. lim 2л - 4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 54E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Evaluate each limit or state why it does not exist.
1. lim 13m45 6m12
+ 100m – 42
4. lim 2 sin 0 +6
x2 – x - 6
3z2 - 12z + 13
2. lim
5. lim
z→-∞ 4-16z + 5z2
I→-2
x² – 2
6-x+3x²
V25x2 + 8
3. lim
6. lim
2х -4
x +2

sin x
7. Determine the end behavior of f(x) =
8. Determine if the statement is true to false. Justify your response.
(a) If lim f(x) = 5 then f(2) = 5.
(b) If f(2) = 5 then lim f(x) = 5.
%3D
9. Determine Determine the point(s) at which the function is discontinuous. For
each point justify why the function is discontinuous.

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