Prove that the Taylor series converges to f(x) by showing that {R_n}(x)→ 0 asn→ ∞ .
Question: Prove that the Taylor series converges to f(x) by showing that \({{R}_{n}}(x)\to 0\ \text{as}\ n\to \infty \).
\({{e}^{-x}}=\sum\limits_{k=0}^{\infty }{{{(-1)}^{k}}\frac{{{x}^{k}}}{k!}}\)
Price: $2.99
Answer: The solution consists of 1 page
Solution Format: Word Document
Solution Format: Word Document
-
[Solution] Use a known Taylor series to find the Taylor series about c = 0 for the given function, and find its #26648
-
(See Solution) Find the derivative (d)/(dx)√{ln (x^2+x)} #4169
-
(See Solution) In problems 89-94, clearly show that the limit definition is used to obtain the derivative. #16829
-
[Solved] Use an appropriate Taylor polynomial of degree 2 to approximate tan 61deg #27840
-
Free Math Help
-
Math Solutions
