Find the indicated limit, if it exists. (2 points) limit of f of x as x approaches 2 where f of x equals x plus 3 when x is less than 2 and f of x equals 3 minus x when x is greater than or equal to 2.

1. the limit does not exist.

2. 1

3. 2

4. 5

Option 1.

The limit does not exist.

Step-by-step explanation:

The function is  

We seek to find

Then we must find the limits on the right of 2 () and on the left of 2 ()

If both limits exist and are equal then the exists, if both limits are different or do not exist then the does not exist.  

Limit on the left of 2

Limit on the rigth of 2

Note that both limits give different results. The limit of f(x) when x tends to 2 on the left is equal to 5, and the limit of f(x) when x tends to 2 on the rigth is equal to 1.

Then the does not exist.

The correct option is 1.

Step-by-step explanation:

The given function is

We need to find the .

The limit of a function exist if the left hand limit is equal to the right hand limit.

Left hand limit:

Apply limit.

Right hand limit:

Apply limit.

Since LHL≠RHL, therefore the limit does not exist. Option 1 is correct.

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !