Q&A: Find a formula for the error E(x) in the tangent line approximation to the function f(x) = √{1 + x} near x = a?

Answer by Arme D
YEA GOOD JOB PIE FOR EVERYONE

Answer by simplicitus
The Taylor series for √(1 + x) = 1 + (1/2)x – (1/8)x^2 + (1/16)x^3 – …

http://en.wikipedia.org/wiki/Square_root

The first point to note is that this is an alternating sequence:
F(x) = a0 + a1 – a2 + a3 -
The second thing to notice is that the ai’s are monotonically decreasing. This means that the error in truncating the series is less than the first term discarded:

http://en.wikipedia.org/wiki/Leibniz_test

Since the tangent line corresponds to the first two terms 1 + (1/2)x, the error is less than (1/8)x^2

error on page facebookFind a linear approximation to the function
f(x)=e^{x/500}
for the range of values 0

Find the percentage error in the approximation when
(a) x = 25
(b)x=50

Answer by G-NextGEN
Tough question, i really need to study math again.

Error Function Android application video manual Key Functionality – Error Function – Calculates value of the error function (also known as the Gauss error function) evaluated at a value of x Complementary Error Function – Calculates value of the complementary error function (also known as the Gauss error function) evaluated at a value of x

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