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## Homework Statement

Determine whether the statement is true or false.

If

*f*is continuous at 5 and

*f*(5) = 8 and

*f*(4) = 3, then

lim x→2 f(4x^2 − 11) = 8.

2. Homework Equations

2. Homework Equations

lim x->a f(x) = f(a)

## The Attempt at a Solution

I think the answer to this question is false because limit of f(4x^2 − 11) has to be approaching 8 but I am not sure if this is the right way ti think about this.[/B]