Posted by **Vince** on Saturday, December 31, 2011 at 9:26pm.

For small values of h, the function (16+h)^1/4 is best approximately by which of the following?

a. 4+h/32

b. 2+h/32

c. h/32

d. 4-h/32

e. 2-h/32

- math -
**Steve**, Saturday, December 31, 2011 at 11:23pm
Even without doing much figuring, you know that it is near 2. That reduces your choices to B and E.

Since you have 16+h, it will naturally be B.

Now, the binomial theorem says that (16+h)^1/4 = 16^1/4 + 1/4 * 16^-3/4 * h + ...

= 2 + 1/4 * 1/8 * h

= 2 + h/32

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