Question

Consider lim x->2 f(x), where f(x)=4x-1.
Find a delta such that: |f(x)-7|<0.01 if
0<|x-2| 12 years ago

Answer 1

Okay start with\[
|(4x-1)-7|<0.01
\]

Answer 2

\[
|4x-8|<0.01
\]

Answer 3

\[
|4||x-2|<0.01
\]

Answer 4

\[
|x-2|<\frac {0.01}{4}
\]

Answer 5

I did get that far but wasn't sure so is the .01/4 the delta?

Answer 6

Yes.

Answer 7

Or anything smaller.