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2. Consider lim xa q(x) A student says that this answer means the limit is 1. Is the stude correct? Explain your reasoning. rt1

2. Consider lim xa q(x) A student says that this answer means the limit is 1. Is the stude correct? Explain your reasoning. rt1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 20E
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p(x) 2. Consider lim A student says that this answer means the limit is 1. Is the student xa q(x) correct? Explain your reasoning. x+1 3. Suppose f(x) = x-1 - and g(x) = x2-4 . Estimate lim f(x) and lim g(x). If g(a) = 0 and f(a) + 0, what can you assume about lim f(x) ? Explain your reasoning. X-a g(x) 4. Give an example of a function f such that lim f(x) exists but f (0) does not exist. Give also, an example of a function g such that g(0) exists but lim g(x) does not exist. 5. Sketch the graph of a function such that lim f(x) = -3,f(0) = 2, ƒ(2) = 5, and lim f(x) x-2 does not exist.
Transcribed Image Text:p(x) 2. Consider lim A student says that this answer means the limit is 1. Is the student xa q(x) correct? Explain your reasoning. x+1 3. Suppose f(x) = x-1 - and g(x) = x2-4 . Estimate lim f(x) and lim g(x). If g(a) = 0 and f(a) + 0, what can you assume about lim f(x) ? Explain your reasoning. X-a g(x) 4. Give an example of a function f such that lim f(x) exists but f (0) does not exist. Give also, an example of a function g such that g(0) exists but lim g(x) does not exist. 5. Sketch the graph of a function such that lim f(x) = -3,f(0) = 2, ƒ(2) = 5, and lim f(x) x-2 does not exist.
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