S(1+ x)? – 1, x < 0 g(x) = sin (2æ), x > 0 Find out whether g(x) is differentiable at x = 0 using the differentiability test. Without carrying out any further calculation, what can you conclude about the continuity at point x = 0?

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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S(1+x)? – 1, x < 0
sin (2æ),
g(x) =
x > 0
Find out whether g(x) is differentiable at x = 0 using the differentiability test.
Without carrying out any further calculation, what can you conclude about
the continuity at point x = 0?
Transcribed Image Text:S(1+x)? – 1, x < 0 sin (2æ), g(x) = x > 0 Find out whether g(x) is differentiable at x = 0 using the differentiability test. Without carrying out any further calculation, what can you conclude about the continuity at point x = 0?
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