Suppose that a function f(x) is defined for all real values of x except at xequals=c. can anything be said about the existence of modifyingbelow lim with x right arrow c f left parenthesis x right parenthesislimx→c f(x)? give reasons for your answer.

we are given that

f(x) is defined for all values of x except at x=c

Limit may or may not exist

case-1:

If there is hole at x=c , then limit exist

case-2:

If there is vertical asymptote at x=c , then limit does not exist

Examples:

case-1:

We can simplify it

so, we can see that limit exist and it's value defined

case-2:

Left limit is

Right Limit is

so, we can see that left limit is not equal to right limit

so, limit does not exist

40 degrees

Step-by-step explanation:

The answer is 40 degrees. Angle x and angle y form vertical angles, therefore x = y. Angle y forms a straight line with the 80° angle and the 60° angle which means that 80° + 60° + y = 180°. 140° + y = 180°. y= 180° - 140°. y = 40°. As mentioned earlier: x = y, so x = y = 40°.

Hope this helps