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If f(x)={(2^(x+2)-16)/(4^x-16), if x!=2,...

If `f(x)={(2^(x+2)-16)/(4^x-16)`, if `x!=2`, k if `x=2` is continuous at `x=2` , find k

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To find the value of \( k \) such that the function \[ f(x) = \frac{2^{(x+2)} - 16}{4^x - 16} \quad \text{if } x \neq 2 \] and \( f(2) = k \) is continuous at \( x = 2 \), we need to ensure that \[ ...
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