-3z if r <0 S(x) = { - In(x + 1) sin(5x) if a > 0 5z (a) Evaluate lim f(x). Show work (calculation steps or a written explanation) in order to a0+ receive full credit. (b) Is the function continuous at r = 0? Explain why or why not.
-3z if r <0 S(x) = { - In(x + 1) sin(5x) if a > 0 5z (a) Evaluate lim f(x). Show work (calculation steps or a written explanation) in order to a0+ receive full credit. (b) Is the function continuous at r = 0? Explain why or why not.
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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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
Transcribed Image Text:e-3x – In(x + 1)
if x <0
f(2) = {
sin(5x)
if x > 0
5x
(a)
Evaluate lim f(x). Show work (calculation steps or a written explanation) in order to
receive full credit.
(b) ; Is the function continuous at a = 0? Explain why or why not.
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