Consider the following. X lim X-0 Create a table of values for the function. (Round your answers to four decimal places.) f(x) sin(2x) X -0.1 -0.01 -0.001 0.001 0.01 0.1 Use the table to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answer to four decimal places.)
Consider the following. X lim X-0 Create a table of values for the function. (Round your answers to four decimal places.) f(x) sin(2x) X -0.1 -0.01 -0.001 0.001 0.01 0.1 Use the table to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answer to four decimal places.)
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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![Consider the following limit expression:
\[
\lim_{{x \to 0}} \frac{{\sin(2x)}}{x}
\]
Create a table of values for the function. (Round your answers to four decimal places.)
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \\
\hline
f(x) & & & & & & \\
\hline
\end{array}
\]
Use the table to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answer to four decimal places.)
\[
\lim_{{x \to 0}} \frac{{\sin(2x)}}{x} \approx \, \, \, \, \,
\]
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Transcribed Image Text:Consider the following limit expression:
\[
\lim_{{x \to 0}} \frac{{\sin(2x)}}{x}
\]
Create a table of values for the function. (Round your answers to four decimal places.)
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & -0.1 & -0.01 & -0.001 & 0.001 & 0.01 & 0.1 \\
\hline
f(x) & & & & & & \\
\hline
\end{array}
\]
Use the table to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answer to four decimal places.)
\[
\lim_{{x \to 0}} \frac{{\sin(2x)}}{x} \approx \, \, \, \, \,
\]
There is an option for "Need Help?" followed by a "Read It" button.
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