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Assume the given function in each part is continuous everywhere. Determine what graphical feature is represented by the limits. (a) If lim f(9+h)-f(9) = 7 and lim f(9+h)-f(9) h→0- h h→0+ h (b) If lim 0- f(6+h)- f(6) = ∞ and lim 0+ f(6+h)-f(6) = 0, then f(x) has a ---Select--- = ∞o, then f(x) has a [---Select--- ✓at x = 9. at x = 6.

Assume the given function in each part is continuous everywhere. Determine what graphical feature is represented by the limits. (a) If lim f(9+h)-f(9) = 7 and lim f(9+h)-f(9) h→0- h h→0+ h (b) If lim 0- f(6+h)- f(6) = ∞ and lim 0+ f(6+h)-f(6) = 0, then f(x) has a ---Select--- = ∞o, then f(x) has a [---Select--- ✓at x = 9. at x = 6.

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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Assume the given function in each part is continuous everywhere. Determine what graphical feature is represented by the limits. - f(9 + h) = f(9) h = 7 and lim f(9 + h) - f(9) h→0+ h (a) If lim h→0- (b) If lim h→0- f(6+h)-f(6) h = ∞0 and lim f(6 + h) - h→0+ h f(6) = 0, then f(x) has a [---Select--- = 00, then f(x) has a ---Select--- at x = 9. at x = 6.
Transcribed Image Text:Assume the given function in each part is continuous everywhere. Determine what graphical feature is represented by the limits. - f(9 + h) = f(9) h = 7 and lim f(9 + h) - f(9) h→0+ h (a) If lim h→0- (b) If lim h→0- f(6+h)-f(6) h = ∞0 and lim f(6 + h) - h→0+ h f(6) = 0, then f(x) has a [---Select--- = 00, then f(x) has a ---Select--- at x = 9. at x = 6.
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