Let f(x) = (1+x)/". a. Make two tables, one showing values of f for x 0.001, 0.0001, and 0.00001 and one showing v for x = -0.01, – 0.001, – 0.0001, and – Round your answers to five digits. b. Estimate the value of lim(1+ x)/². c. What mathematical constant does lim (1 + x) x→0

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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10. T Let f(x) = (1+x)/ª.
0.01,
a. Make two tables, one showing values of f for x =
0.001, 0.0001, and 0.00001 and one showing values of f
for x =
:-0.01, – 0.001, – 0.0001, and –0.00001.
Round your answers to five digits.
b. Estimate the value of lim(1+x)'/ª.
c. What mathematical constant does lim(1+x)/" appear
to equal?
Transcribed Image Text:10. T Let f(x) = (1+x)/ª. 0.01, a. Make two tables, one showing values of f for x = 0.001, 0.0001, and 0.00001 and one showing values of f for x = :-0.01, – 0.001, – 0.0001, and –0.00001. Round your answers to five digits. b. Estimate the value of lim(1+x)'/ª. c. What mathematical constant does lim(1+x)/" appear to equal?
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