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## Homework Statement

find a number delta

## Homework Equations

f(x) = 1/x

| 1/x - 0.5 |<0.2 whenever | x - 2 | < delta

## The Attempt at a Solution

how would you factor out a negative exponent?

is this possible?

i think i can get x out from under the 1/x with using negative exponents, but how would i factor it out? is this the wrong way to go with this?

|1/x - 1/2| < 0.2

| x - 2|^-1 < 0.2