Question

PLEASE HELP! I really do not understand!

I attached the whole question!!!

Use the given graph to determine the limit, if it exists
A coordinate graph is shown with a horizontal line coming from the left crossing the y axis at four and ending at the open point 2,4, a closed point at 2,1, and a horizontal line starting at the open point 2, negative 4 and continuing to the right
Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x

Answer 1

See below.

Explanation:

Limit of f(x) as x ---> 2- (that is 2 from the left) = 4.

Limit of f(x) as x ---> 2+ (that is 2 from the right) = -4.

Answer 2

Answer with explanation:

When you will look at the function given in the graph, the function approaches to , +2 , from both sides of the line that is from,-4 , it approaches to +2, and from right side of line that is , +4 , it approaches to +2.

→When function approaches from left of line to point , x=2, we get, y= 4.

→And, when function approaches from right of line that is from , x=4 it terminates at, x=2.The value of function at , x=2 from right is , that is , y=-4 .

→→So, LHL(Left Hand Limit, at x=2 , is)

`\lim_(x \to 2^(-) f(x)=4)\\\\ \text{RHL(Right Hand Limit, at x=2 , is)}  \lim_(x \to 2^(+) )f(x)=-4`