Find the limit of (x-4)/x as x --> 4

3 Answers | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

We have to find lim x-->4 [(x - 4)/x]

substitute x = 4

=> 0/4

=> 0

The result is obtained directly in this case as 0.

The required limit is 0.

hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

We need to find the limit of (x-4)/4

This is a simple direct substitution question.

All you need to do is substitute with x= 4.

lim (x-4)/x   as x--> 4

First we will use the substitution method and check the answer.

==> lim (x-4)/x as x--> =  4-4/4 = 0/4 = 0

Then the limit of (x-4)/4 as x approaches 4 is 0.

The answer is : The limit is 0.

tonys538's profile pic

tonys538 | Student, Undergraduate | (Level 1) Valedictorian

Posted on

The limit `lim_(x->4)(x-4)/x` is required.

`lim_(x->4)(x-4)/x`

= `lim_(x->4) x/x-4/x`

If 4 is substituted for x, the result is 4/4 - 4/4 = 1 - 1 = 0

The limit `lim_(x->4)(x-4)/x = 0`

We’ve answered 318,932 questions. We can answer yours, too.

Ask a question