Is there a constant a in R so that the function f(x) = { a if x = 0, cos( pi x ) if x ̸ = 0 is continuous? (Justify your answer.)
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Step 1
Step 1: To determine if the function f(x) is continuous at x = 0, we need to check if the limit of f(x) as x approaches 0 from both the left and the right exists and is equal to f(0). Show more…
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