Writing Evaluate the limitlimx0x sin xx3in two ways: using LHpitals rule and by
Chapter 9, Problem 47(choose chapter or problem)
Writing Evaluate the limit
\(\lim _{x \rightarrow 0} \frac{x-\sin x}{x^{3}}\)
in two ways: using L'Hôpital's rule and by replacing \(\sin x\) by its Maclaurin series. Discuss how the use of a series can give qualitative information about how the value of an indeterminate limit is approached.
Equation Transcription:
Text Transcription:
Lim x right arrow 0 x-sinx/x^3
sinx
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