Latest Questions & Answers

Q: Let f(x) = [[cos x]], -π

Let f(x) = [[cos x]], -π ≤ x ≤ π . a. Sketch the graph off. b. Evaluate each limit, if it exists. c. For what values of a does limx &a...

Q: a. If the symbol [[ ]] denotes the greatest integer function

a. If the symbol [[ ]] denotes the greatest integer function defined in Example 10, evaluate b. If n is an integer, evaluate c. For what values of a does limx → a [[x]] exist?

Q: Let / a. Evaluate each of the

Let a. Evaluate each of the following, if it exists. b. Sketch the graph of t.

Q: Let / Find the value of c so

Let Find the value of c so that / exists.

Q: Let / a. Find limx→1

Let a. Find limx→1- f(x) and limx→1+ f(x). b. Does limx→1 f(x) exist? c. Sketch the graph of f.

Q: Let g(x) = x2 + x – 6/|

Let g(x) = x2 + x – 6/|x - 2| a. Find b. Does limx → 2 g(x) exist? c. Sketch the graph of t.

Q: Let g(x) = sgn(sinx). a

Let g(x) = sgn(sinx). a. Find each of the following limits or explain why it does not exist. b. For which values of a does limx → a g(x) not exist? c. Sketch a graph of g.

Q: The signum (or sign) function, denoted by sgn,

The signum (or sign) function, denoted by sgn, is defined by a. Sketch the graph of this function. b. Find each of the following limits or explain why it does not exist.

Q: Find the limit, if it exists. If the limit does

Find the limit, if it exists. If the limit does not exist, explain why.

Q: Sketch the graph of the function and use it to determine the

Sketch the graph of the function and use it to determine the values of a for which limx → a f(x) exists.