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Find the Limit LL For the Given Function ff , the Point x0x _ { 0 }

Question 142

Multiple Choice

Find the limit LL for the given function ff , the point x0x _ { 0 } , and the positive number ε\varepsilon . Then find a number δ>0\delta > 0 such that, for all xt0<xx0<δf(x) L<εx _ { t } 0 < \left| x - x _ { 0 } \right| < \delta \Rightarrow | f ( x ) - L | < \varepsilon .
-f(x) = -10x - 4, L = -24, x0 = 2, and ε\varepsilon = 0.01


A) 0.002
B) 0.0005
C) -0.005
D) 0.001

Correct Answer:

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