91Ó°ÊÓ

In Exercises 5-12, evaluate the sum using the summation formulas and properties. $$\displaystyle\sum_{i=1}^{20} i^3$$

In Exercises 7-12, complete the table and use the result to estimate the limit numerically. Determine whether or not the limit can be reached. $$\lim_{x \to 2}\ (5x+4)$$

In Exercises 5-12, evaluate the sum using the summation formulas and properties. $$\displaystyle\sum_{i=1}^{30} i^2$$

In Exercises 7-12, complete the table and use the result to estimate the limit numerically. Determine whether or not the limit can be reached. $$\lim_{x \to 1}\ (2x^2+x-4)$$

In Exercises 7-12, complete the table and use the result to estimate the limit numerically. Determine whether or not the limit can be reached. $$\lim_{x \to 3}\ \dfrac{x-3}{x^2 -9}$$

In Exercises 9-36, find the limit (if it exists). Use a graphing utility to verify your result graphically. $$\lim_{x \to 6} \dfrac{x-6}{x^2-36}$$

In Exercises 9-16, use the limit process to find the slope of the graph of the function at the specified point. Use a graphing utility to confirm your result. \(g(x) = x^2-4x, \quad (3, -3)\)

In Exercises 9-28, find the limit (if it exists). If the limit does not exist, explain why. Use a graphing utility to verify your result graphically. \\[\lim_{x\to \infty} \left(\dfrac{3}{x^2} + 1 \right) \\]

In Exercises 5-12, evaluate the sum using the summation formulas and properties. $$\displaystyle\sum_{k=1}^{20} (k^3 + 2)$$

In Exercises 7-12, complete the table and use the result to estimate the limit numerically. Determine whether or not the limit can be reached. $$\lim_{x \to -1}\ \dfrac{x+1}{x^2 -x-2}$$