For which value of a function also continuous, Mathematics

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For which value of a function also continuous

Consider g(x) = {a, (cosx-1)/x) where a is lower number in parenthesis and (cox - 1)/x is upper limit number and x=0 for a and x not equal to 0 for upper limit number.

Then (a) utilizing known theorems, illustrate that function g(x) is continuous at points where x is not equal to 0 and (b) For which value of a is function also continuous at x=0?

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