Let COS f(x) = a (2)-¹) cosh(r). r" tanh (-) I<0 r=0 r>0 where a € R is a constant. For what value(s) of a is f continuous at x = 0? Justify your answer with reference to the definition of continuity.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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Let
COS
f(x) = a
cosh(r)-
(2)-1)
- tanh (-)
(¹)
x<0
x=0
r>0
where a € R is a constant. For what value(s) of a is f continuous at x = 0? Justify your
answer with reference to the definition of continuity.
Transcribed Image Text:Let COS f(x) = a cosh(r)- (2)-1) - tanh (-) (¹) x<0 x=0 r>0 where a € R is a constant. For what value(s) of a is f continuous at x = 0? Justify your answer with reference to the definition of continuity.
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9780321964038
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