(See) Use a known Taylor series to conjecture the value of the limit. x→ 0lim
Question: Use a known Taylor series to conjecture the value of the limit.
\(\underset{x\to 0}{\mathop{\lim }}\,\frac{{{e}^{-2x}}-1}{x}\)
Deliverable: Word Document 
Solution: Use a known Taylor polynomial with n nonzero terms
![[Solution] Use a known Taylor polynomial with](/images/solutions/MC-solution-library-71029.jpg "[Solution] Use a known Taylor polynomial with n nonzero terms")
[Solution] Use a known Taylor polynomial with n nonzero terms
(Steps Shown) Determine the radius and interval of convergence.
![[See Solution] Use the Binomial Theorem to](/images/solutions/MC-solution-library-71031.jpg "[See Solution] Use the Binomial Theorem to find the first five terms")
[See Solution] Use the Binomial Theorem to find the first five terms
(See Solution) Determine the radius and interval of convergence.
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