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## Homework Statement

For g=

**H**f = sin (f), use a Taylor expansion to determine the range of input for which the operator is approximately linear within 10 %

## Homework Equations

The taylor series from 0 to 1 , the linearization, is the most appropriate equation

## The Attempt at a Solution

g(f) = sin(0) + f*cos(0) = f

g1(f) = sin(f) g2 (f) =f ( at f=0, g1=g2(f) )

g1(f) = g2(f) + error

sin(f) = f + (1/10) * sin (f)

(9/10)* sin (f) =f

the value I keep getting is when f is equal to 0. I really don't think I am doing this correctly. Any advice?