Determining Limits From a Graph: Examples The following examples are based on this graph of a piecewise function which has a jump at x = 1: Example question 1: What is the limit of f(x) as x approaches 2? Solut
In the following exercises, use a calculator to draw the graph of each piecewise-defined function and study the graph to evaluate the given limits. 33. [T] f(x)={x2x≤3x+4x>3f(x)={x2x≤3x+4x>3 limx→3−f(x)limx→3−f(x) limx→3+f(x)limx→3+f(x) Show Solution 34...
(check it out on your calculator) (3) lim x→0 ( 1 x − 1 |x| ). Let f(x) = 1 x − 1 |x| . We write this function as a piecewise defined function: f(x) = 1 x − 1 x = 0 x > 0 1 x + 1 x = 2 x x≤ 0 . 7 lim x→0 ( 1 x − 1 |x| )...
We have to find the indicated limit for the given function. First we will simplify the function. With the help of the given table we can find the value of function at different point and compare it and draw the graph ...