Final Answer
Step-by-step Solution
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Simplify $\sqrt{t^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$
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$\lim_{t\to4}\left(\frac{\left(t+\sqrt{16}\right)\left(\sqrt{t^2}-\sqrt{16}\right)}{t-4}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (t)->(4)lim((t^2-16)/(t-4)). Simplify \sqrt{t^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Calculate the power \sqrt{16}. Simplify \sqrt{t^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Calculate the power \sqrt{16}.