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f(x) is graphed below. Find each value. O- lim f(x) = -6 x→-5- lim f(x) = 5 x→→5+ lim_ f(x) 5 x → 5 f(-5) = 5 10+ 9 8 7 6 5 10-9-8 -6 -5 -4 -3 -2 -1 4 4 3 2 1 23 -2 -3 -4 -5 6 -7 -8 -9 -10 + s 4 6 1 2 3 X X X X 8 9 10

f(x) is graphed below. Find each value. O- lim f(x) = -6 x→-5- lim f(x) = 5 x→→5+ lim_ f(x) 5 x → 5 f(-5) = 5 10+ 9 8 7 6 5 10-9-8 -6 -5 -4 -3 -2 -1 4 4 3 2 1 23 -2 -3 -4 -5 6 -7 -8 -9 -10 + s 4 6 1 2 3 X X X X 8 9 10

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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The image presents a mathematical graph of the function \( f(x) \). ### Graph Details: - **X-axis and Y-axis**: The graph has a grid with labeled axes. The x-axis is labeled from -10 to 10, while the y-axis is marked from -10 to 10 as well. - **Graph Features**: - There is a solid line from \((-9, -5)\) to \((-5, 5)\). - At \(x = -5\), there is an open circle at \(( -5, 5)\) and a closed circle at \((-5, -6)\), indicating a discontinuity. - The function remains constant with a horizontal solid line from \((-5, -6)\) to \((4, -6)\). - An open circle is present at \((4, -6)\), followed by a curve descending from \((4, 3)\), then rising back to \((6, 3)\). - A solid point is indicated at \((6, 2)\). - The function ascends again and has an open circle at \((7, 3)\). ### Limits and Function Value: - \(\lim_{x \to 5^-} f(x) = -6\) - \(\lim_{x \to 5^+} f(x) = 5\) - \(\lim_{x \to 5} f(x) = 5\) - \(f(-5) = 5\) Each of these solutions is marked as incorrect in the image. This may imply an exploration of discontinuities and limit properties, likely focusing on evaluating left-hand and right-hand limits where they differ from the actual function value at \(x = -5\).
Transcribed Image Text:The image presents a mathematical graph of the function \( f(x) \). ### Graph Details: - **X-axis and Y-axis**: The graph has a grid with labeled axes. The x-axis is labeled from -10 to 10, while the y-axis is marked from -10 to 10 as well. - **Graph Features**: - There is a solid line from \((-9, -5)\) to \((-5, 5)\). - At \(x = -5\), there is an open circle at \(( -5, 5)\) and a closed circle at \((-5, -6)\), indicating a discontinuity. - The function remains constant with a horizontal solid line from \((-5, -6)\) to \((4, -6)\). - An open circle is present at \((4, -6)\), followed by a curve descending from \((4, 3)\), then rising back to \((6, 3)\). - A solid point is indicated at \((6, 2)\). - The function ascends again and has an open circle at \((7, 3)\). ### Limits and Function Value: - \(\lim_{x \to 5^-} f(x) = -6\) - \(\lim_{x \to 5^+} f(x) = 5\) - \(\lim_{x \to 5} f(x) = 5\) - \(f(-5) = 5\) Each of these solutions is marked as incorrect in the image. This may imply an exploration of discontinuities and limit properties, likely focusing on evaluating left-hand and right-hand limits where they differ from the actual function value at \(x = -5\).
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Here, we have to find left hand and right hand limit as x approaches to -5. Then we have to find limit x approaches to -5 and f(-5).

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