(a) Find the largest open interval, centered at the origin onthe x-axis, such that for

Chapter 1, Problem 57

(choose chapter or problem)

(a) Find the largest open interval, centered at the origin on the Iraxis, such that for each x in the interval, other than the center, the values of \(f(x)=\frac{1}{x^{2}}\) are greater than 100 .
(b) Find the largest open interval, centered at \(x=1\), such that for each x in the interval, other than the center, the values of the function \(f(x)=\frac{1}{|x-1|}\) are greater than

(c) Find the largest open interval, centered at \(x=3\), such that for each x in the interval, other than the center. the values of the function \(f(x)=-\frac{1}{(x-3)^{2}}\) are less than

(d) Find the largest open interval, centered at the origin on the
-axis, such that for each x in the interval, other than the center, the values of \(f(x)=-\frac{1}{x^{4}}\) are less than - 10,000.

Equation Transcription:

Text Transcription:

f(x)=1/x^2

x=1

f(x)=1/|x-1|

x=3

f(x)=-1/(x-3)^2

f(x)=-1/x^4

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