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Show That for Any Positive Number ε\varepsilon We Can Find a Positive Number

Question 15

Multiple Choice

Show that for any positive number ε\varepsilon we can find a positive number δ\delta such that the statement below is satisfied.
-15x - 125 is less than ε\varepsilon away from 130 whenever x\mathrm{x} is less than δ\delta away from - 17 .


A) δ=ε15\delta=\frac{\varepsilon}{-15}

B) δ=ε17\delta=\frac{\varepsilon}{-17}

C) δ=ε17\delta=\frac{\varepsilon}{17}

D) δ=ε15\delta=\frac{\varepsilon}{15}

Correct Answer:

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