Find the limit of $\frac{x^2+4x-21}{x-3}$ as $x$ approaches $3$

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$\lim_{x\to3}\left(\frac{x^2}{x-3}+\frac{4x}{x-3}+\frac{-21}{x-3}\right)$

Learn how to solve limits problems step by step online. Find the limit of (x^2+4x-21)/(x-3) as x approaches 3. Expand the fraction \frac{x^2+4x-21}{x-3}. The limit of a sum of two or more functions is equal to the sum of the limits of each function: \displaystyle\lim_{x\to c}(f(x)\pm g(x))=\lim_{x\to c}(f(x))\pm\lim_{x\to c}(g(x)). The limit of the product of a function and a constant is equal to the limit of the function, times the constant: \displaystyle \lim_{t\to 0}{\left(at\right)}=a\cdot\lim_{t\to 0}{\left(t\right)}. Evaluate the limit \lim_{x\to3}\left(\frac{x^2}{x-3}\right) by replacing all occurrences of x by 3.