Let f(x) = x ln(1+ x*). For all æ € [-1, 1], it is known that In(1 + x) = (-1)" -xn+1 n +1 n=0 2. Evaluate f(1804) (0), i.e., the 1804th derivative of f at x = 0.
Let f(x) = x ln(1+ x*). For all æ € [-1, 1], it is known that In(1 + x) = (-1)" -xn+1 n +1 n=0 2. Evaluate f(1804) (0), i.e., the 1804th derivative of f at x = 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 32T
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![Let f(x) = x In(1+x°). For all æ E [-1, 1], it is known that
In(1+ x) = £
(-1)"
-xn+1
n +1
n=0
2. Evaluate f(d804) (0), i.e., the 1804th derivative of f at x = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4af5e909-d992-49e5-83d6-19ad7c9947e1%2F49839007-749c-4c75-91d1-77e63ef2b83e%2F8hvyu0k_processed.png&w=3840&q=75)
Transcribed Image Text:Let f(x) = x In(1+x°). For all æ E [-1, 1], it is known that
In(1+ x) = £
(-1)"
-xn+1
n +1
n=0
2. Evaluate f(d804) (0), i.e., the 1804th derivative of f at x = 0.
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