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Continuity : Making a Piecewise Function Continuous

Continuity : Making a Piecewise Function Continuous.Here we have a piecewise function. We have to find the value for a missing coefficient of one of the functions to make the whole thing into a continuous function.These problems can be done rather quickly, but a typical college professor would want to see limits and the definition of continuity on an exam ( I would have, at least).
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