Exam 2: Limits and Derivatives

Select the correct Answer for each question. -At what point is the function not differentiable.

Select the correct Answer for each question. -Find the horizontal and vertical asymptotes of the graph of the function

Find an equation of the tangent line to the curve at the point .

If the tangent line to passes through the point Select the correct Answer

Select the correct Answer for each question. - Sketch the graph of the function nd evaluate

Let a.Sketch the graph of c.Find a formula for b.For what values of differentiable?

How close to do we have to take x so that

Select the correct Answer for each question. -Find the limit if it exists.

How close to 2 do we have to take x so that is within a distance of 0.01 from 13?

Which of the given functions is discontinuous? Select the correct Answer

Let Find the following limits.

A skydiver leaps from a helicopter hovering high above the ground.Her velocity t sec later and before deploying her parachute is given by where is measured in meters per second.What is her terminal velocity? Hint: Evaluate

Use the definition of the limit to find values of that corresponds to Round yourAnswer to the nearest thousandth.

Find an equation of the tangent line to the curve.

Find the horizontal and vertical asymptotes of the graph of the function

Find the limit.Select the correct Answer

Find the limit.

Use continuity to evaluate the limit.

Consider the following function. Determine the values of a for which exists.

Select the correct Answer for each question. -Use the graph of the function o find the value(s) of at which is not differentiable.