Exam 11: Limits: A Preview to Calculus

Complete a table of values to four decimal places and use the result to estimate the limit.

Determine whether the sequence converges. If it does converge, state the limit.

For the graph of the function f shown, state the value of the given quantity.

A person holds a pistol straight upward and fires. The initial velocity of most bullets is around 1,490 feet per second. The height of the bullet t seconds after it is fired is a function described by a. What is the average of the bullet between 37 and 89 seconds after it is fired? b. What is the instantaneous velocity of the bullet when t = 91 seconds (shortly before its hits the ground)?

Find the equation of the tangent line to the graph of f at the given point. at the point

Find the area under the curve on the specified interval.

Complete a table of values to four decimal places and use the result to estimate the limit.

Complete a table of values to four decimal places and use the result to estimate the limit.

Find the slope of the tangent line to the graph of f at the given point. at the point

Find the derivative of f '(x).

Find the limit, if it exists.

Determine whether the sequence converges. If it does converge, state the limit.

Evaluate the one-sided limit in order to find the limit, if it exists.

Evaluate the summation.

Find the limit of the summation.

Find the derivative of the f '(x).

Evaluate the summation.

Given the graphs of the functions f and g, find the limit, if it exists.

Complete a table of values to four decimal places and use the result to estimate the limit.

Evaluate the one-sided limit in order to find the limit, if it exists.