Using the graph of h we get (a) Value of function h at x=5 is 8
(b) Limit of h(x) at x=5 does not exist
(c) Value of function h at x=7 is 4
(d) Limit of h(x) at x=7 does not exist
(e)Limit of h(x) at x=8 is 5
Limit : Limit is the value that a function output approaches as the input approaches to a certain value.
For any function g(x) , [tex]\lim_{x \to \22} g(x)[/tex] refers to the value that the g(x) approaches as the x approaches to 2 from either left hand side or from right hand side
From any graph we can easily see that to what value g(x)=y on the curve is approaching when the x is approaching to some value on x axis and if the graph is splitting into different functions on the value of x where x is approaching then the limit does not exist for that value of x.
For given graph h(x)
We can see value of value of function h at x=5 is 8 and value of function h at x=7 is 4
As the graph of h(x) has a hole in the graph when x=5, breaking its function into two different function on x=5 then or limit of h(x) at x=5 does not exist
As the graph of h(x) has a hole in the graph when x=7, breaking its function into two different function on x=7 then or limit of h(x) at x=7 does not exist
As the graph is not breaking at x=8or we can say that graph of g(x)is approaching to 5 as x approaches to 8 then limit of h(x) at x=8 is equal to g(1) that is 5
For more about limits,
https://brainly.com/question/28290246
#SPJ1
