Estimating (16.1)1/4 using Taylor's Expansion at x=16

[ruby_duby]

Homework Statement

Use the taylor's expansion of f(x)= x^1/4 about x= 16 to estimate (16.1)^1/4

Homework Equations

Taylors formula: f(a) + f'(a) (x-a) + (f''(a)/2!) (x-a)²+...

The Attempt at a Solution

Ok I have calculate the taylor expansion to be: 2 + (1/32) (x-16)-(3/320) (x-16)²+ (7/262144) (x-16)³

I just don't know what to do after this - do i just substitute 16.1 into the value for x in the taylor expansion I have just found?

 

[lanedance]

yep - then check whether you're close with a caclulator

 

[ruby_duby]

thanks it works