Answer:
<u>Option: a</u> is correct.
Limit of the function at x=2 is: 2
Step-by-step explanation:
Clearly by looking at the graph of the function we could observe that the function f(x) is defined as:
f(x)= -x+4 when x≠4
and 8 when x=2
since we could see that the function f(x) is a line segment that passes through the point (4,0) and (0,4).
and the equation of line passing through two points (a,b) and (c,d) is given by:
Here a,b)=(4,0) and (c,d)=(0,4)
Hence,
the equation of line is:
Now the left hand limit of the function at x=2 is:
Similarly the right hand limit of the function at x=2 is:
Hence, the limit of the function at x=2 is:
2