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

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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.**

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.**

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`