Question

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

Answer 1

ANSWER

$\lim_{x \to \: a}(x) = a$

$\lim_{x \to \: a}(a) = a$

$\lim_{x \to \: 5}(x) = 5$

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

$\lim_{x \to \: a}(a) = a$