Section 2.2: Problem #4 E Week 2-2016Fall/X D MAT 265 ZHU (15 × D WeBWorK : Zhu-

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Section 2.2: Problem #4

E Week 2-2016Fall/X D MAT 265 ZHU (15 × D WeBWorK : Zhu-N × Bryson Tiller-74 × Section 2.2: Proble × SP li mit x to 10^-((f(X Facebook C https://webwork asu.edu/webwork2/Zhu-MAT 265 ONLINE-B Fall 2016/Section 22/4/?user=at allin&effectiveUser;=atwallin&key;=KMy3cK4dXHI5BCs7ahtZm3KUfES9F6Xg webwork/ zhumat 265 online b fall 2016 / section 2,2 /4 MAIN MENU Courses Homework Sets Section 2.2 Section 2.2: Problem 4 Problem 4 User Settings Previous Problem List Next Grades (1 point) Let f(x) - x 10. Evaluate the following limits. ( 1 point) Let f(z) = |z-101. Evaluate the following lim lim f(a)-f(10) lim fe)- f(10) Thus the function f(z) is not differentiable at 10. Problems z-10 z-10 Problem 1 Problem 2 Problem3 Problem 4 Problem 5 Problem6 z-10' x-10 Note: You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 4 times. Your overall recorded score is 0%. 9:36 AM Ask me anything 10/29/2016

Explanation / Answer

By definition of the absolute value function, |x - 10| = x - 10 when x > 10 and |x - 10| = -(x - 10) when x < 10

Lim (x -> 10-) |x - 10| = Lim (x -> 10-)[-(x - 10)] = Lim (x -> 10-) (10 - x) = 10 - 10 = 0

Lim (x -> 10+) |x - 10| = Lim (x -> 10+)[(x - 10)] = Lim (x -> 10+) (x - 10) = 10 - 10 = 0

Thus, both answers are 0.

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