If I'm correct, the output can be 0.1 and -0.1. So I have computed:
f(0.1)= 0.00316 and f(-0.1)= -0.00316
These are the inputs that guarantee the output to be within 0.1 of the limit, 0. However, I think there is an error in my thinking somewhere.
Homework Statement
Consider f(x)=x^2.5. Note that limf(x) as x->0+ =0. The input must be less than ___ from 0 to guarantee the output is within 0.1 of the limit.
Homework Equations
N/A
The Attempt at a Solution