Find the following limit (if it exists). Write a simpler function that agrees with the given function at all but one point. ​   7 ​

Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. ​ A cyclist is riding on a path whose elevation is modeled by the function wherexand are measured in miles. Find the rate of change of elevation when x= 3.

Find the  x- values (if any) at which is not continuous.  ​

Discuss the continuity of the function . ​

Find the vertical asymptotes (if any) of the function . ​

A ring has a inner circumference of 11 centimeters. If the ring’s inner circumference can vary between 10.5 centimeters  and 12.5 centimeters  how can the radius vary? Round your answer to five decimal places. ​

Use the graph to determine the following limits, and discuss the continuity of the function at x = -3. (i) (ii) (iii) ​

Complete the table and use the result to estimate the limit.   –0.1 –0.01 –0.001 0.001 0.01 0.1 ​

Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. ​ A cyclist is riding on a path whose elevation is modeled by the function wherexand are measured in miles. Find the rate of change of elevation when x= 3.

Find the  x -values (if any) at which the function is not continuous. Which of the discontinuities are removable? ​