Question: Consider the piecewise function ( (1+ )* 1, if x > 0 sin (4x), if a < 0. g (x) = Discover whether g

Consider the piecewise function ( (1+ )* 1, if x > 0

Consider the piecewise function ( (1+ )* 1, if x > 0 sin (4x), if a < 0. g (x) = Discover whether g (x) is differentiable at a = 0 using the limit definition of the derivative. Without carrying out any further calculation, what can you conclude about the continuity at point x = 0?

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