Exercise 3 Let cos, 0 1, log.x f(x):= a, x = 1, i) Are there values of a such that f is continuous at x = 1? ii) Are there values of a such that f is derivable at x = 1? Justify your answers.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Exercise 3
Let
Cos
log.x'
0 < x < 1, x> 1,
f(x):=
a₂
x = 1,
i) Are there values of a such that f is continuous at x = 1?
ii) Are there values of a such that f is derivable at x = 1?
Justify your answers.
Transcribed Image Text:Exercise 3 Let Cos log.x' 0 < x < 1, x> 1, f(x):= a₂ x = 1, i) Are there values of a such that f is continuous at x = 1? ii) Are there values of a such that f is derivable at x = 1? Justify your answers.
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