Question

For real number a, which of the following equations are true ? Select all that apply.

Answer 1

A, B, D

Explanation:

Answers for the rest of the quick check

1. A,B,D

2. 16, D

3. 10a, B

4. 3, D

Good Luck :)

Answer 2

`\lim_(x \to \: a)(x) = a`

`\lim_(x \to \: a)(a) = a`

`\lim_(x \to \: 5)(x) = 5`

EXPLANATION

For real number 'a',

`\lim_(x \to \: a)(x) = a`

is true because we have to plug in 'a' for x.

`\lim_(x \to \: a)(a) = a`

This is also true because limit of a constant is the constant.

`\lim_(x \to \: 5)(4) = 5`

is false. The correct value is

`\lim_(x \to \: 5)(4) =4`

`\lim_(x \to \: 5)(x) = 5`

is also true because we have to substitute 5 for x.

`\lim_(x \to \: a)(a) = x`

is also false

The limit should be

`\lim_(x \to \: a)(a) = a`