Chapter 1.3, Problem 15E

Calculate the limit algebraically. (If you need to use  or –, enter INFINITY or –INFINITY, respectively. If an answer does not exist, enter DNE.) lim x→−1  3x2 + 3 x =

Can you tell whether lim x→5 f (x) exists from a plot of f for x > 5? Explain.

The average monthly sales volume (in thousands of dollars) for a firm depends on the number of hours x of training of its sales staff, according to the following. (Give exact answers. Do not round.) S(x) =  2 x  + 20 +  x 2 ,    2 ≤ x ≤ 100 (a) Find lim x→2+ S(x). thousand dollars(b) Find lim x→100− S(x). thousand dollars

Find the value of lim x→0  8sin2x/ 7sin(2x^2+x).

Use the following graph of y = f(x) to answer the question. Find (lim x->-2 f(x)) and f(3)

Answer the following: Show your solution below: a.      Use graphing platform to graph the function and determine the one-sided limit of this equation below. Lim x –> 1–­       x2 + x + 1                                x3 – 1

Evaluate the following limits. a. lim?→3 √x^2 −5−2  b. lim?→64 3√x−4  / √x−8

valuate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−3  x2 + 3x/x2 − 4x − 21

Use the following graph of y = f(x) to answer the question. Find limx->1+ f(x) Find limx->3 f(x)