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You Are Given lim⁡x→af(x)=L\lim _ { x \rightarrow a } f ( x ) = L

Question 19

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You are given lim⁡x→af(x)=L\lim _ { x \rightarrow a } f ( x ) = L and a tolerance ε\varepsilon . Find a number δ\delta such that ∣f(x)−L∣<ε| f ( x ) - L | < \varepsilon whenever 0<∣x−a∣<δ0 < | x - a | < \delta .
lim⁡x→34x=12;ε=0.01\lim _ { x \rightarrow 3 } 4 x = 12 ; \quad \varepsilon = 0.01

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