Se" –1 r >0 h(x) = |4- e" -1 x20 f(x) = sin x and g(x) = and x < 0 x <0
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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Question
Let f, g and h be the functions defined below. The A in the formula for h is a constant real number.
Briefly explain answers:
a) Is g continuous at 0? If not, what type of discontinuity does it have?
b) Is f o g continuous at 0? If not, what type of discontinuity does it have?
c) Is g o f continuous at 0? If not, what type of discontinuity does it have?
d) Find a value of A that makes h o f continuous at 0.
Transcribed Image Text:Se" –1 r >0
h(x) =
|4-
e" -1 x20
f(x) = sin x
and
g(x) =
and
x < 0
x <0
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