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text:

"So ... I had a play with it in Desmos and f(g(2)) is defined. 

I think it must be defining f(g(2)) as lim{x->2} f(g(2)).

... what are the arguments for allowing or not allowing x=2?

Note - we do allow limits in other cases - such as finding the equation of the tangent to a curve."

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createdAt:

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