Limits - 3 Problems

Use one-sided limits to find the limit or determine that the limit does not exist. 16-x^2 /4-x lim x => 4 Find the trigonometric limit: sin3x/2x limx => 0 Please show work.

1. The overall average on a process you are attempting to monitor is 49 units. The process standard deviation is 1.52. Determine the upper and lower control limits for a mean chart, if you choose to use a sample size of 5. Set z=3. UCLx = ____________ LCLx = ____________ Round your answers to 2 decimal places; for examp

10. A travel agency is concerned with the accuracy and appearance of itineraries prepared for its clients. Defects can include errors in times, airlines, flight numbers, prices, car rental information, lodging, charge card numbers and reservation numbers, as well as typographical errors. As the possible number of errors is nearl

For the following data use the weighting constant x = 0.5 and exponential smoothing to determine the forecast for 2005. Subscribers Subscribers Year (millions) Year (Millions) 1993 16.0 1999 86.0 1994 24.1 2000

A process that is considered to be in control measures an ingredient in ounces. Below are the last 10 samples taken. Please see the attached problem.

A. Let f: R--->R and let c be element in R. Show that the lim from x to c of f(x)=L if and only if lim from x to 0 of f(x+c)=L (if and only if: go both ways) b. Use either the epsilon-delta definition (which states: Let A be a subset of the reals and let c be a cluster point of A. For a function f: A--->R, a real number L is

Assume An=[-1/6+ 1/(n+1), 1/(n+2). Calculate lim An or prove it does not exist.

Use definition of limit to prove .... Please see the attached file for the fully formatted problems.

A quality control inspector at the Beautiful Shampoo Company has taken three samples with four observations each of the volume of shampoo bottles filled. The data collected by the inspector and the computed means are shown here: Samples of Shampoo Bottles/Volume in Ounces Observation 1 2