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Evaluate lim(xrarra)((x+2)^(3//2)-(a+2)^...

Evaluate `lim_(xrarra)((x+2)^(3//2)-(a+2)^(3//2))/(x-a).`

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AI Generated Solution

To evaluate the limit \[ \lim_{x \to a} \frac{(x+2)^{3/2} - (a+2)^{3/2}}{x - a}, \] we can use the definition of the derivative. The expression resembles the definition of the derivative of the function \( f(x) = (x+2)^{3/2} \) at the point \( x = a \). ...
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