ESTIMATING A LIMIT NUMERICALLY: COMPLETE THE TABLE AND USE THE RESULT TO ESTIMATE THE LIMIT. C. Estimating a Limit Numerically: Complete the table and use the result to estimate the limit.X-41. limX-4x2-3x-43.93.993.9994.4.0014.014.1f(x)Vx+1-12. lim-0.1-0.01-0.0010.0010.010.1f(x) sin x3. lim-0.1-0.01-0.0010.0010.010.1f(x)X-2limx²+x-6X→10.90.990.99911.0011.011.1f(x)4.

Answered: Xー4 1. lim X-4 x2-3x-4 3.9 3.99 3.999 4…

Math

Calculus

Xー4 1. lim X-4 x2-3x-4 3.9 3.99 3.999 4 4.001 4.01 4.1 f(x)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 7E

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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

ESTIMATING A LIMIT NUMERICALLY: COMPLETE THE TABLE AND USE THE RESULT TO ESTIMATE THE LIMIT.

sin x
3. lim
-0.1
-0.01
-0.001
0.001
0.01
0.1
f(x)
X-2
lim
x²+x-6
X→1
0.9
0.99
0.999
1
1.001
1.01
1.1
f(x)
4.

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