For the given function f(x) and values of L, c, and e>0, find the largest open interval lf(x) - L)l 0 such that 0 lf(x)-Ll <e

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#1

For the given function f(x) and values of L, c, and e>0, find the largest open interval about c on which the inequality lf(x) - L)l 0 such that 0 lf(x)-Ll <e.

f(x) = 1/x L=0.04 c=25, e = 0.004

I need help taking the reciprocal, I got this far:

.036 < 1/x < .044

I can’t figure out how to take the reciprocal of all terms.

Answer:

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