Question

Find the limit
Picture below

Answer 1

`a. 10`

`b. -1`

Explanation:

We want to find;

`\lim_(x \to -1) f(x)`

a.
`\lim_(x \to -1) 10`.

Since this is a constant function, the limit is still 10.

`\lim_(x \to -1) 10=10`.

The second one is a limit of a linear function

b.
`\lim_(x \to -1) x`.

We plug in the value to get;

b.
`\lim_(x \to -1) x=-1`.

The correct answer is A

Answer 2

Answer: OPTION A.

Explanation:

You can rewrite it as following:

a.
`\lim_(x\to \ -1) 10`

This means that you must substitute x=10 into the limit.

There is not x, therefore the result is 10:

`\lim_(x\to \ -1) 10=10`

b.
`\lim_(x\to \-1) x`

This means that you must substitute x=-1 into the limit. Then:

`\lim_(x\to \ -1)=-1`