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Use a linear approximation (or differentials) to estimate the given number.

0 votes
(1.999)^4
asked Jan 22, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1 :

Limit definition of differentiation :

For small values of :

Let image and image.

Substitute image in image.

Differentiate image with respect x.
image

Substitute image in image.

image

Substitute image and image in above equation.

image

Solution :

image

answered Jan 23, 2015 by Thomas Apprentice

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