decide from the graph whether a limit exists. if a limit exists, find its value. \nlim f(x)\nx→ - 6\n\nwhat…

decide from the graph whether a limit exists. if a limit exists, find its value. \nlim f(x)\nx→ - 6\n\nwhat is the limit? select the correct choice below and fill in any answer boxes in your choice\n\na. the limit is the real number \n\nb. the limit does not exist

decide from the graph whether a limit exists. if a limit exists, find its value. \nlim f(x)\nx→ - 6\n\nwhat is the limit? select the correct choice below and fill in any answer boxes in your choice\n\na. the limit is the real number \n\nb. the limit does not exist

Answer

Explanation:

Step1: Analyze left - hand limit

Examine the graph as $x$ approaches $- 6$ from the left side.

Step2: Analyze right - hand limit

Examine the graph as $x$ approaches $- 6$ from the right side.

Step3: Check if they are equal

If the left - hand limit and the right - hand limit are equal, the limit exists; otherwise, it does not.

Answer:

Since the graph is not provided completely here (no clear view of the function behavior near $x=-6$), we assume a general approach. If the function approaches the same value as $x$ approaches $-6$ from both the left and the right, the limit exists and is that common value. If it approaches different values or has a break/jump, the limit does not exist. Without seeing the full graph details near $x = - 6$, we cannot determine the exact answer. But in a proper analysis: If the left - hand limit and right - hand limit are equal, say $L$, the answer is A. The limit is the real number $L$. If they are not equal, the answer is B. The limit does not exist.