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Use the graph to find the limit L (if it exists). If the limit does not exist, explain why. (If an answer does not exist, enter DNE.) h(x) = + 2 2 -1 (a) ** h(x) L = O The limit does not exist at x = 2 because the function approaches different values from the left and right side of 2. The limit does not exist at x = 2 because the function is not continuous at any x value. O The limit does not exist at x = 2 because the function value is undefined at x = 2. The limit does not exist at x = 2 because the function does not approach f(2) as x approaches 2. O The limit exists at x = 2. (b) lim h(x) L = The limit does not exist at x = 1 because the function is not continuous at any x value. The limit does not exist at x = 1 because the function does not approach f(1) as x approaches 1. The limit does not exist at x = 1 because the function approaches different values from the left and right side of 1. The limit does not exist at x = 1 because the function value is undefined at x = 1. O The limit exists at x = 1. O O

Use the graph to find the limit L (if it exists). If the limit does not exist, explain why. (If an answer does not exist, enter DNE.) h(x) = + 2 2 -1 (a) ** h(x) L = O The limit does not exist at x = 2 because the function approaches different values from the left and right side of 2. The limit does not exist at x = 2 because the function is not continuous at any x value. O The limit does not exist at x = 2 because the function value is undefined at x = 2. The limit does not exist at x = 2 because the function does not approach f(2) as x approaches 2. O The limit exists at x = 2. (b) lim h(x) L = The limit does not exist at x = 1 because the function is not continuous at any x value. The limit does not exist at x = 1 because the function does not approach f(1) as x approaches 1. The limit does not exist at x = 1 because the function approaches different values from the left and right side of 1. The limit does not exist at x = 1 because the function value is undefined at x = 1. O The limit exists at x = 1. O O

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the graph to find the limit L (if it exists). If the limit does not exist, explain why. (If an answer does not exist, enter DNE.) + x2 2 h(x) 3 2 3 (a) lim h(x) X→2 L = The limit does not exist at x = 2 because the function approaches different values from the left and right side of 2. The limit does not exist at x = 2 because the function is not continuous at any x value. The limit does not exist at x = 2 because the function value is undefined at x = 2. The limit not exist at x use he cion not approach f(2) as x approaches 2. The limit exists at x = 2. (b) lim h(x) L = The limit does not exist at x = 1 because the function is not continuous at any x value. The limit does not exist at x = 1 because the function does not approach f(1) as x approaches 1. The limit does not exist at x = 1 because the function approaches different values from the left and right side of 1. The limit does not exist at x = 1 because the function value is undefined at x = 1. The limit exists at x = 1. O O O O O O O O
Transcribed Image Text:Use the graph to find the limit L (if it exists). If the limit does not exist, explain why. (If an answer does not exist, enter DNE.) + x2 2 h(x) 3 2 3 (a) lim h(x) X→2 L = The limit does not exist at x = 2 because the function approaches different values from the left and right side of 2. The limit does not exist at x = 2 because the function is not continuous at any x value. The limit does not exist at x = 2 because the function value is undefined at x = 2. The limit not exist at x use he cion not approach f(2) as x approaches 2. The limit exists at x = 2. (b) lim h(x) L = The limit does not exist at x = 1 because the function is not continuous at any x value. The limit does not exist at x = 1 because the function does not approach f(1) as x approaches 1. The limit does not exist at x = 1 because the function approaches different values from the left and right side of 1. The limit does not exist at x = 1 because the function value is undefined at x = 1. The limit exists at x = 1. O O O O O O O O
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