# Calculus Examples

Split the limit using the Sum of Limits Rule on the limit as approaches .

Evaluate the limit of by plugging in for .

Evaluate the limit of which is constant as approaches .

Subtract from to get .

Split the limit using the Sum of Limits Rule on the limit as approaches .

Evaluate the limit of by plugging in for .

Evaluate the limit of which is constant as approaches .

Subtract from to get .

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$\text{}\left[\begin{array}{cc}{x}^{2}\text{}& \text{}\genfrac{}{}{.05ex}{}{1}{2}\text{}\\ \text{}\sqrt{\pi}\text{}& \text{}{\displaystyle \int}xdx\text{}\end{array}\right]\text{}$